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  Subjects -> MATHEMATICS (Total: 966 journals)
    - APPLIED MATHEMATICS (82 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (711 journals)
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    - PROBABILITIES AND MATH STATISTICS (88 journals)

MATHEMATICS (711 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 29)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 5)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)

        1 2 3 4 | Last

Journal Cover
Acta Mathematica Scientia
Journal Prestige (SJR): 0.504
Citation Impact (citeScore): 1
Number of Followers: 5  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0252-9602
Published by Elsevier Homepage  [3163 journals]
  • Global existence of classical solutions to the hyperbolic geometry flow
           with time-dependent dissipation
    • Authors: Dexing KONG; Qi LIU
      Pages: 745 - 755
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Dexing KONG, Qi LIU
      In this article, we investigate the hyperbolic geometry flow with time-dependent dissipation ∂ 2 g i j ∂ t 2 + μ ( 1 + t ) λ ∂ g i j ∂ t = - 2 R i j , on Riemann surface. On the basis of the energy method, for 0 < λ ≤ 1, μ > λ + 1, we show that there exists a global solution gij to the hyperbolic geometry flow with time-dependent dissipation with asymptotic flat initial Riemann surfaces. Moreover, we prove that the scalar curvature R(t,x) of the solution metric gij remains uniformly bounded.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30780-x
       
  • Nonnegativity of solutions of nonlinear fractional differential-algebraic
           equations
    • Authors: Xiaoli DING; Yaolin JIANG
      Pages: 756 - 768
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Xiaoli DING, Yaolin JIANG
      Nonlinear fractional differential-algebraic equations often arise in simulating integrated circuits with superconductors. How to obtain the nonnegative solutions of the equations is an important scientific problem. As far as we known, the nonnegativity of solutions of the nonlinear fractional differential-algebraic equations is still not studied. In this article, we investigate the nonnegativity of solutions of the equations. Firstly, we discuss the existence of nonnegative solutions of the equations, and then we show that the nonnegative solution can be approached by a monotone waveform relaxation sequence provided the initial iteration is chosen properly. The choice of initial iteration is critical and we give a method of finding it. Finally, we present an example to illustrate the efficiency of our method.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30781-1
       
  • Growth and distortion theorems for almost starlike mappings of complex
           order λ
    • Authors: Xiaofei ZHANG; Jin LU; Xiaofei LI
      Pages: 769 - 777
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Xiaofei ZHANG, Jin LU, Xiaofei LI
      In this article, the sharp growth theorem for almost starlike mappings of complex order λ is given firstly. Secondly, distortion theorem along a unit direction is also established as the application of the growth theorem. In particular, using our results can reduce to some well-known results.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30782-3
       
  • Exact solutions for the Cauchy problem to the 3D spherically symmetric
           incompressible Navier-Stokes equations
    • Authors: Jianlin ZHANG; Yuming QIN
      Pages: 778 - 790
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Jianlin ZHANG, Yuming QIN
      In this article, we establish exact solutions to the Cauchy problem for the 3D spherically symmetric incompressible Navier-Stokes equations and further study the existence and asymptotic behavior of solution.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30783-5
       
  • Products of resolvents and multivalued hybrid mappings in CAT(0) spaces
    • Authors: Gholamreza ZAMANI ESKANDANI; Soheila AZARMI; Masoumeh RAEISI
      Pages: 791 - 804
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Gholamreza ZAMANI ESKANDANI, Soheila AZARMI, Masoumeh RAEISI
      In this article, we introduce and investigate the concept of multivalued hybrid mappings in CAT(0) spaces by using the concept of quasilinearization. Also, we present a new iterative algorithm involving products of Moreau-Yosida resolvents for finding a common element of the set of minimizers of a finite family of convex functions and a common fixed point of two multivalued hybrid mappings in CAT(0) spaces.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30784-7
       
  • On entire solutions of some type of nonlinear difference equations
    • Authors: Huifang LIU; Zhiqiang MAO
      Pages: 819 - 828
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Huifang LIU, Zhiqiang MAO
      In this article, the existence of finite order entire solutions of nonlinear difference equations f n + P d ( z , f ) = p 1 e α 1 z + p 2 e α 2 z are studied, where n ≥ 2 is an integer, Pd(z, f) is a difference polynomial in f of degree d(≤ n − 2), p1, p2 are small meromorphic functions of ez , and α1, α2 are nonzero constants. Some necessary conditions are given to guarantee that the above equation has an entire solution of finite order. As its applications, we also find some type of nonlinear difference equations having no finite order entire solutions.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30786-0
       
  • Crossed products by finite group actions with certain tracial Rokhlin
           property
    • Authors: Qingzhai Fan; Xiaochun Fang
      Pages: 829 - 842
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Qingzhai Fan, Xiaochun Fang
      We introduce a special tracial Rokhlin property for unital C*-algebras. Let A be a unital tracial rank zero C*-algebra (or tracial rank no more than one C*-algebra). Suppose that α:G → Aut(A) is an action of a finite group G on A, which has this special tracial Rokhlin property, and suppose that A is a α-simple C*-algebra. Then, the crossed product C*-algebra C*(G, A,α) has tracia rank zero (or has tracial rank no more than one). In fact, we get a more general results.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30787-2
       
  • Blow-up problems for nonlinear parabolic equations on locally finite
           graphs
    • Authors: Yong LIN; Yiting WU
      Pages: 843 - 856
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Yong LIN, Yiting WU
      Let G=(V,E) be a locally finite connected weighted graph, and Δ be the usual graph Laplacian. In this article, we study blow-up problems for the nonlinear parabolic equation ut=Δu + f(u) on G. The blow-up phenomenons for ut=Δu + f(u) are discussed in terms of two cases: (i) an initial condition is given; (ii) a Dirichlet boundary condition is given. We prove that if f satisfies appropriate conditions, then the corresponding solutions will blow up in a finite time.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30788-4
       
  • Stability of rarefaction wave for a macroscopic model derived from the
           Vlasov-Maxwell-Boltzmann system
    • Authors: Yongting HUANG; Hongxia LIU
      Pages: 857 - 888
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Yongting HUANG, Hongxia LIU
      In this article, we are concerned with the nonlinear stability of the rarefaction wave for a one-dimensional macroscopic model derived from the Vlasov-Maxwell-Boltzmann system. The result shows that the large-time behavior of the solutions coincides with the one for both the Navier-Stokes-Poisson system and the Navier-Stokes system. Both the time-decay property of the rarefaction wave profile and the influence of the electromagnetic field play a key role in the analysis.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30789-6
       
  • Existence of global L∞ solutions to a generalized n × n
           hyperbolic system of LeRoux type
    • Authors: Shujun LIU; Fangqi CHEN; Zejun WANG
      Pages: 889 - 897
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Shujun LIU, Fangqi CHEN, Zejun WANG
      In this article, we give the existence of global L ∞ bounded entropy solutions to the Cauchy problem of a generalized n × n hyperbolic system of LeRoux type. The main difficulty lies in establishing some compactness estimates of the viscosity solutions because the system has been generalized from 2 × 2 to n × n and more linearly degenerate characteristic fields emerged, and the emergence of singularity in the region {v 1=0} is another difficulty. We obtain the existence of the global weak solutions using the compensated compactness method coupled with the construction of entropy-entropy flux and BV estimates on viscous solutions.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30790-2
       
  • Global wellposedness of magnetohydrodynamics system with
           temperature-dependent viscosity
    • Authors: Shibin SU; Xiaokui ZHAO
      Pages: 898 - 914
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Shibin SU, Xiaokui ZHAO
      The initial boundary value problem of the one-dimensional magneto-hydrodynamics system, when the viscosity, thermal conductivity, and magnetic diffusion coefficients are general smooth functions of temperature, is considered in this article. A unique global classical solution is shown to exist uniquely and converge to the constant state as the time tends to infinity under certain assumptions on the initial data and the adiabatic exponent γ. The initial data can be large if γ is sufficiently close to 1.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30791-4
       
  • Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers
           equation
    • Authors: Rui LI; Chong LAI; Yonghong WU
      Pages: 915 - 925
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Rui LI, Chong LAI, Yonghong WU
      The existence of global weak solutions for a generalized Benjamin-Bona-Mahony-Burgers equation is established in the space C ( [ 0 , ∞ ) × R ) ∩ L ∞ ( [ 0 , ∞ ) ;   H 1 ( R ) ) under the condition that its initial value belongs to the space H1(R). A one-sided super bound estimate and a space-time higher-norm estimate on the first order derivatives of the solution with respect to the space variable are derived to prove the existence.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30792-6
       
  • A boundary Schwarz lemma for pluriharmonic mappings from the unit polydisk
           to the unit ball
    • Authors: Ling LI; Hongyi LI; Di ZHAO
      Pages: 926 - 934
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Ling LI, Hongyi LI, Di ZHAO
      In this article, we present a Schwarz lemma at the boundary for pluriharmonic mappings from the unit polydisk to the unit ball, which generalizes classical Schwarz lemma for bounded harmonic functions to higher dimensions. It is proved that if the pluriharmonic mapping f ∈ P ( D n , B N ) is C 1 + α at z 0 ∈ E r ⊂ ∂ D n with f(0)= 0 and f ( z 0 ) = w 0 ∈   ∂ B N for any n, N ≥ 1, then there exist a nonnegative vector λ f = ( λ 1 ,   0 ,   …   ,   λ r ,   0 ,   … ,   0 ) T ∈ R 2 n satisfying λ i ≥ 1 2 2 n - 1   for   1 ≤ i ≤ r such that ( D f ( z ′ 0 ) ) T w ′ 0 = diag ( λ f ) z ′ 0 , where z ′ 0 and w ′ 0 are real versions of z 0 and w 0, respectively.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30793-8
       
  • Positive solutions for a weighted fractional system
    • Authors: Pengyan WANG; Yongzhong WANG
      Pages: 935 - 949
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Pengyan WANG, Yongzhong WANG
      In this article, we study positive solutions to the system { A α u ( x ) = C n , α P V   ∫ R n a 1 ( x - y ) ( u ( x ) - u ( y ) ) x - y n + α d y = f ( u ( x ) ,   υ ( x ) ) , B β υ ( x ) = C n , β P V   ∫ R n a 2 ( x - y ) ( υ ( x ) - υ ( y ) ) x - y n + β d y = g ( u ( x ) ,   υ ( x ) ) . To reach our aim, by using the method of moving planes, we prove a narrow region principle and a {decay at infinity} by the iteration method. On the basis of these results, we conclude radial symmetry and monotonicity of positive solutions for the problems involving the weighted fractional system on an unit ball and the whole space. Furthermore, non-existence of nonnegative solutions on a half space is given.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30794-x
       
  • The eventually distance minimizing rays in moduli spaces
    • Authors: Fei SONG; Yi QI; Guangming HU
      Pages: 950 - 964
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Fei SONG, Yi QI, Guangming HU
      The eventually distance minimizing ray (EDM ray) in moduli spaces of the Riemann surfaces of analytic finite type with 3g + n − 3 > 0 is studied, which was introduced by Farb and Masur [5]. The asymptotic distance of EDM rays in a moduli space and the distance of end points of EDM rays in the boundary of the moduli space in the augmented moduli space are discussed in this article. A relation between the asymptotic distance of EDM rays and the distance of their end points is established. It is proved also that the distance of end points of two EDM rays is equal to that of end points of two Strebel rays in the Teichmüller space of a covering Riemann surface which are leftings of some representatives of the EDM rays. Meanwhile, simpler proofs for some known results are given.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30795-1
       
  • Nonlinear stability of viscous shock waves for one-dimensional
           nonisentropic compressible Navier–Stokes equations with a class of large
           initial perturbation
    • Authors: Shaojun TANG; Lan ZHANG
      Pages: 973 - 1000
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Shaojun TANG, Lan ZHANG
      We study the nonlinear stability of viscous shock waves for the Cauchy problem of one-dimensional nonisentropic compressible Navier–Stokes equations for a viscous and heat conducting ideal polytropic gas. The viscous shock waves are shown to be time asymptotically stable under large initial perturbation with no restriction on the range of the adiabatic exponent provided that the strengths of the viscous shock waves are assumed to be sufficiently small. The proofs are based on the nonlinear energy estimates and the crucial step is to obtain the positive lower and upper bounds of the density and the temperature which are uniformly in time and space.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30797-5
       
  • Stability of traveling waves in a population dynamic model with delay and
           quiescent stage
    • Authors: Yonghui ZHOU; Yunrui YANG; Kepan LIU
      Pages: 1001 - 1024
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Yonghui ZHOU, Yunrui YANG, Kepan LIU
      This article is concerned with a population dynamic model with delay and quiescent stage. By using the weighted-energy method combining continuation method, the exponential stability of traveling waves of the model under non-quasi-monotonicity conditions is established. Particularly, the requirement for initial perturbation is weaker and it is uniformly bounded only at x = +∞ but may not be vanishing.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30798-7
       
  • Long-time dynamics of the strongly damped semilinear plate equation in RN
    • Authors: Azer KHANMAMEDOV; Sema YAYLA
      Pages: 1025 - 1042
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Azer KHANMAMEDOV, Sema YAYLA
      We investigate the initial-value problem for the semilinear plate equation containing localized strong damping, localized weak damping and nonlocal nonlinearity. We prove that if nonnegative damping coefficients are strictly positive almost everywhere in the exterior of some ball and the sum of these coefficients is positive a.e. in R n , then the semigroup generated by the considered problem possesses a global attractor in H 2 ( R n ) × L 2 ( R n ) . We also establish the boundedness of this attractor in H 3 ( R n ) × H 2 ( R n ) .

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30799-9
       
  • Initial boundary value problem for a nonconservative system in
           elastodynamics
    • Authors: K. Divya JOSEPH; P.A. DINESH
      Pages: 1043 - 1056
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): K. Divya JOSEPH, P.A. DINESH
      This article is concerned with the initial boundary value problem for a nonconservative system of hyperbolic equation appearing in elastodynamics in the space time domain x > 0, t > 0. The number of boundary conditions, to be prescribed at the boundary x = 0, depends on the number of characteristics entering the domain. Because our system is nonlinear, the characteristic speeds depends on the unknown and the direction of the characteristics curves are known apriori. As it is well known, the boundary condition has to be understood in a generalised way. One of the standard way is using vanishing viscosity method. We use this method to construct solution for a particular class of initial and boundary data, namely the initial and boundary datas that lie on the level sets of one of the Riemann invariants.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30800-2
       
  • Helical symmetric solution of 3d Navier-Stokes equations arising from
           geometric shape of the boundary
    • Authors: Weifeng JIANG; Kaitai LI
      Pages: 1057 - 1104
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Weifeng JIANG, Kaitai LI
      In this article, we investigate three-dimensional solution with helical symmetry in a gap between two concentric rotating cylinders, inside is a helicoidal surface (screw propeller) while outside is a cylindrical surface. Establish the partial differential equations and its variational formulation satisfied by a helical solution in a helical coordinate system using tensor analysis method, we provide a computational method for the power and propulsion of the screw. The existence and uniqueness of weak helical solutions are proved.

      PubDate: 2018-05-28T00:37:51Z
      DOI: 10.1016/s0252-9602(18)30801-4
       
  • On a fixed point theorem in 2-Banach spaces and some of its applications
    • Authors: Janusz BRZDEK; Krzysztof CIEPLIŃSKI
      Pages: 377 - 390
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Janusz BRZDEK, Krzysztof CIEPLIŃSKI
      The aim of this article is to prove a fixed point theorem in 2-Banach spaces and show its applications to the Ulam stability of functional equations. The obtained stability results concern both some single variable equations and the most important functional equation in several variables, namely, the Cauchy equation. Moreover, a few corollaries corresponding to some known hyperstability outcomes are presented.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30755-0
       
  • Multiplicity and concentration behaviour of positive solutions for
           Schrödinger-Kirchhoff type equations involving the p-Laplacian in RN
    • Authors: Huifang JIA; Gongbao LI
      Pages: 391 - 418
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Huifang JIA, Gongbao LI
      In this article, we study the multiplicity and concentration behavior of positive solutions for the p-Laplacian equation of Schrödinger-Kirchhoff type - ∈ p   M ( ∈ p - N ∫ R N ∇ u p ) Δ p u + V ( x ) u p - 2 u = f ( u ) in R N , where Δp is the p-Laplacian operator, 1 < p < N, M: R + → R + and V: R N → R + are continuous functions, ε is a positive parameter, and f is a continuous function with subcritical growth. We assume that V satisfies the local condition introduced by M. del Pino and P. Felmer. By the variational methods, penalization techniques, and Lyusternik-Schnirelmann theory, we prove the existence, multiplicity, and concentration of solutions for the above equation.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30756-2
       
  • Multiplicity of solutions of weighted (p,q)-Laplacian with small source
    • Authors: Huijuan SONG; Jingxue YIN; Zejia WANG
      Pages: 419 - 428
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Huijuan SONG, Jingxue YIN, Zejia WANG
      In this article, we study the existence of infinitely many solutions to the degenerate quasilinear elliptic system - div ( h 1 ( x ) ∇ u p - 2 ∇ u ) = d ( x ) u r - 2 u + G u ( x , u , υ ) - div ( h 2 ( x ) ∇ υ q - 2 ∇ υ ) = f ( x ) υ s - 2 υ + G υ ( x , u , υ ) u = υ = 0 in   Ω in   Ω on   ∂ Ω where Ω is a bounded domain in R N with smooth boundary ∂Ω, N≥2, 1 < r < p < ∞, 1 < s < q < ∞; h1(x) and h2(x) are allowed to have “essential” zeroes at some points in Ω ;   d ( x ) u r - 2 u and   f ( x ) υ s - 2 υ are small sources with Gu(x,u,v), Gv(x,u,v) being their high-order perturbations with respect to (u,v) near the origin, respectively.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30757-4
       
  • Qualitative analysis of a stochastic ratio-dependent Holling-Tanner system
    • Authors: Jing FU; Daqing JIANG; Ningzhong SHI; Tasawar HAYAT; Ahmed ALSAEDI
      Pages: 429 - 440
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Jing FU, Daqing JIANG, Ningzhong SHI, Tasawar HAYAT, Ahmed ALSAEDI
      This article addresses a stochastic ratio-dependent predator-prey system with Leslie-Gower and Holling type II schemes. Firstly, the existence of the global positive solution is shown by the comparison theorem of stochastic differential equations. Secondly, in the case of persistence, we prove that there exists a ergodic stationary distribution. Finally, numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30758-6
       
  • Sharp bounds for Hardy operators on product spaces
    • Authors: Mingquan WEI; Dunyan YAN
      Pages: 441 - 449
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Mingquan WEI, Dunyan YAN
      In this article, we obtain the sharp bounds from L P ( G n ) to the space wL P ( G n ) for Hardy operators on product spaces. More generally, the precise norms of Hardy operators on product spaces from L P ( G n ) to the space L PI ( G n ) are obtained.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30759-8
       
  • Continuous finite element methods for Reissner-Mindlin plate problem
    • Authors: Huoyuan DUAN; Junhua MA
      Pages: 450 - 470
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Huoyuan DUAN, Junhua MA
      On triangle or quadrilateral meshes, two finite element methods are proposed for solving the Reissner-Mindlin plate problem either by augmenting the Galerkin formulation or modifying the plate-thickness. In these methods, the transverse displacement is approximated by conforming (bi)linear macroelements or (bi)quadratic elements, and the rotation by conforming (bi)linear elements. The shear stress can be locally computed from transverse displacement and rotation. Uniform in plate thickness, optimal error bounds are obtained for the transverse displacement, rotation, and shear stress in their natural norms. Numerical results are presented to illustrate the theoretical results.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30760-4
       
  • A note on Malmquist-Yosida type theorem of higher order algebraic
           differential equations
    • Authors: Jianjun ZHANG; Liangwen LIAO
      Pages: 471 - 478
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Jianjun ZHANG, Liangwen LIAO
      In this article, we give a simple proof of Malmquist-Yosida type theorem of higher order algebraic differential equations, which is different from the methods as that of Gackstatter and Laine [2], and Steinmetz [12].

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30761-6
       
  • A new adaptive trust region algorithm for optimization problems
    • Authors: Zhou SHENG; Gonglin YUAN; Zengru CUI
      Pages: 479 - 496
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Zhou SHENG, Gonglin YUAN, Zengru CUI
      It is well known that trust region methods are very effective for optimization problems. In this article, a new adaptive trust region method is presented for solving unconstrained optimization problems. The proposed method combines a modified secant equation with the BFGS updated formula and an adaptive trust region radius, where the new trust region radius makes use of not only the function information but also the gradient information. Under suitable conditions, global convergence is proved, and we demonstrate the local superlinear convergence of the proposed method. The numerical results indicate that the proposed method is very efficient.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30762-8
       
  • Multiplicity of positive solutions for a class of concave-convex elliptic
           equations with critical growth
    • Authors: Jiafeng LIAO; Yang PU; Chunlei TANG
      Pages: 497 - 518
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Jiafeng LIAO, Yang PU, Chunlei TANG
      In this article, the following concave and convex nonlinearities elliptic equations involving critical growth is considered, { - Δ u = g ( x ) u 2 * - 2 u + λ f ( x ) u q - 2 u , x ∈ Ω u = 0 , x ∈ ∂ Ω , where Ω ⊂ R N (N ≥ 3) is an open bounded domain with smooth boundary, 1 < q < 2,λ > 0. 2 * = 2 N N - 2 is the critical Sobolev exponent, f ∈ L 2 * 2 * - q ( Ω ) is nonzero and nonnegative, and g ∈ C ( Ω ¯ ) is a positive function with k local maximum points. By the Nehari method and variational method, k + 1 positive solutions are obtained. Our results complement and optimize the previous work by Lin [MR2870946, Nonlinear Anal. 75(2012) 2660-2671].

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30763-x
       
  • Convergence analysis of mixed volume element-characteristic mixed volume
           element for three-dimensional chemical oil-recovery seepage coupled
           problem
    • Authors: Yirang YUAN; Aijie CHENG; Dangping YANG; Changfeng LI; Qing YANG
      Pages: 519 - 545
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Yirang YUAN, Aijie CHENG, Dangping YANG, Changfeng LI, Qing YANG
      The physical model is described by a seepage coupled system for simulating numerically three-dimensional chemical oil recovery, whose mathematical description includes three equations to interpret main concepts. The pressure equation is a nonlinear parabolic equation, the concentration is defined by a convection-diffusion equation and the saturations of different components are stated by nonlinear convection-diffusion equations. The transport pressure appears in the concentration equation and saturation equations in the form of Darcy velocity, and controls their processes. The flow equation is solved by the conservative mixed volume element and the accuracy is improved one order for approximating Darcy velocity. The method of characteristic mixed volume element is applied to solve the concentration, where the diffusion is discretized by a mixed volume element method and the convection is treated by the method of characteristics. The characteristics can confirm strong computational stability at sharp fronts and it can avoid numerical dispersion and nonphysical oscillation. The scheme can adopt a large step while its numerical results have small time-truncation error and high order of accuracy. The mixed volume element method has the law of conservation on every element for the diffusion and it can obtain numerical solutions of the concentration and adjoint vectors. It is most important in numerical simulation to ensure the physical conservative nature. The saturation different components are obtained by the method of characteristic fractional step difference. The computational work is shortened greatly by decomposing a three-dimensional problem into three successive one-dimensional problems and it is completed easily by using the algorithm of speedup. Using the theory and technique of a priori estimates of differential equations, we derive an optimal second order estimates in l 2 norm. Numerical examples are given to show the effectiveness and practicability and the method is testified as a powerful tool to solve the important problems.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30764-1
       
  • Two dimensional Mellin transform in Quantum Calculus
    • Authors: Kamel BRAHIM; Latifa RIAHI
      Pages: 546 - 560
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Kamel BRAHIM, Latifa RIAHI
      In this article, we introduce the two dimensional Mellin transform M q ˜ ( f ) ( s , t ) , give some properties, establish the Paley-Wiener theorem and Plancherel formula, present the Hausdorff-Young inequality, and find several applications for the two dimensional Mellin transform.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30765-3
       
  • Finite-time H∞ control for a class of Markovian jumping neural networks
           with distributed time varying delays-LMI approach
    • Authors: P. BASKAR; S. PADMANABHAN; M. Syed ALI
      Pages: 561 - 579
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): P. BASKAR, S. PADMANABHAN, M. Syed ALI
      In this article, we investigates finite-time H ∞ control problem of Markovian jumping neural networks of neutral type with distributed time varying delays. The mathematical model of the Markovian jumping neural networks with distributed delays is established in which a set of neural networks are used as individual subsystems. Finite time stability analysis for such neural networks is addressed based on the linear matrix inequality approach. Numerical examples are given to illustrate the usefulness of our proposed method. The results obtained are compared with the results in the literature to show the conservativeness.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30766-5
       
  • Numerical simulations for a variable order fractional cable equation
    • Authors: A.M. NAGY; N.H. SWEILAM
      Pages: 580 - 590
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): A.M. NAGY, N.H. SWEILAM
      In this article, Crank-Nicolson method is used to study the variable order fractional cable equation. The variable order fractional derivatives are described in the Riemann-Liouville and the Grünwald-Letnikov sense. The stability analysis of the proposed technique is discussed. Numerical results are provided and compared with exact solutions to show the accuracy of the proposed technique.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30767-7
       
  • Equi-attraction and backward compactness of pullback attractors for
           point-dissipative Ginzburg-Landau equations
    • Authors: Yangrong LI; Lianbing SHE; Jinyan YIN
      Pages: 591 - 609
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Yangrong LI, Lianbing SHE, Jinyan YIN
      A new concept of an equi-attractor is introduced, and defined by the minimal compact set that attracts bounded sets uniformly in the past, for a non-autonomous dynamical system. It is shown that the compact equi-attraction implies the backward compactness of a pullback attractor. Also, an eventually equi-continuous and strongly bounded process has an equi-attractor if and only if it is strongly point dissipative and strongly asymptotically compact. Those results primely strengthen the known existence result of a backward bounded pullback attractor in the literature. Finally, the theoretical criteria are applied to prove the existence of both equi-attractor and backward compact attractor for a Ginzburg-Landau equation with some varying coefficients and a backward tempered external force.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30768-9
       
  • Convergence of hybrid viscosity and steepest-descent methods for
           pseudocontractive mappings and nonlinear Hammerstein equations
    • Authors: Yekini SHEHU; Olaniyi. S. IYIOLA
      Pages: 610 - 626
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Yekini SHEHU, Olaniyi. S. IYIOLA
      In this article, we first introduce an iterative method based on the hybrid viscosity approximation method and the hybrid steepest-descent method for finding a fixed point of a Lipschitz pseudocontractive mapping (assuming existence) and prove that our proposed scheme has strong convergence under some mild conditions imposed on algorithm parameters in real Hilbert spaces. Next, we introduce a new iterative method for a solution of a nonlinear integral equation of Hammerstein type and obtain strong convergence in real Hilbert spaces. Our results presented in this article generalize and extend the corresponding results on Lipschitz pseudocontractive mapping and nonlinear integral equation of Hammerstein type reported by some authors recently. We compare our iterative scheme numerically with other iterative scheme for solving non-linear integral equation of Hammerstein type to verify the efficiency and implementation of our new method.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30769-0
       
  • Diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow
           with fixed viscosity
    • Authors: Zhonglin WU; Shu WANG
      Pages: 627 - 642
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Zhonglin WU, Shu WANG
      We establish magnetic diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow by the mathematical validity of the Prandtl boundary layer theory with fixed viscosity. The convergence is verified under various Sobolev norms, including the L ∞(L 2) and L ∞(H1) norm.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30770-7
       
  • A note in approximative compactness and midpoint locally k-uniform
           rotundity in Banach spaces
    • Authors: Chunyan LIU; Zihou ZHANG; Yu ZHOU
      Pages: 643 - 650
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Chunyan LIU, Zihou ZHANG, Yu ZHOU
      In this article, we prove the following results: (1) A Banach space X is weak midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively weakly compact k-Chebyshev set; (2) A Banach space X is midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively compact k-Chebyshev set.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30771-9
       
  • The global attractor for a viscous weakly dissipative generalized
           two-component μ-Hunter-Saxton system
    • Authors: Lei ZHANG; Bin LIU
      Pages: 651 - 672
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Lei ZHANG, Bin LIU
      This article is concerned with the existence of global attractor of a weakly dissipative generalized two-component μ-Hunter-Saxton (gμHS2) system with viscous terms. Under the period boundary conditions and with the help of the Galerkin procedure and compactness method, we first investigate the existence of global solution for the viscous weakly dissipative (gμHS2) system. On the basis of some uniformly prior estimates of the solution to the viscous weakly dissipative (gμHS2) system, we show that the semi-group of the solution operator { S ( t ) } t ≥ 0 has a bounded absorbing set. Moreover, we prove that the dynamical system { S ( t ) } t ≥ 0 possesses a global attractor in the Sobolev space H 2 ( S ) × H 2 ( S ) .

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30772-0
       
  • Liouville theorem for Choquard equation with finite Morse indices
    • Authors: Xiaojun ZHAO
      Pages: 673 - 680
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Xiaojun ZHAO
      In this article, we study the nonexistence of solution with finite Morse index for the following Choquard type equation - Δ u = ∫ R N u ( y ) p x - y α d y u ( x ) p - 2 u ( x )   in   R N , where N ≥ 3, 0 < α < {4,N}. Suppose that 2 < p < 2 N - α N - 2 , we will show that this problem does not possess nontrivial solution with finite Morse index. While for p = 2 N - α N - 2 , if i(u) < ∞ then we have ∫ R N ∫ R N u ( x ) p u ( y ) p x - y α d x d y   <   ∞ and ∫ R N ∇ u 2 d x = ∫ R N ∫ R N   u ( x ) p u ( y ) p x - y α   d x d y .

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30773-2
       
  • Solutions to BSDEs driven by both fractional Brownian motions and the
           underlying standard Brownian Motions
    • Authors: Yuecai HAN; Yifang SUN
      Pages: 681 - 694
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Yuecai HAN, Yifang SUN
      The local existence and uniqueness of the solutions to backward stochastic differential equations(BSDEs, in short) driven by both fractional Brownian motions with Hurst parameter H∈(1/2,1) and the underlying standard Brownian motions are studied. The generalization of the Itô formula involving the fractional and standard Brownian motions is provided. By theory of Malliavin calculus and contraction mapping principle, the local existence and uniqueness of the solutions to BSDEs driven by both fractional Brownian motions and the underlying standard Brownian motions are obtained.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30774-4
       
  • On a class of Douglas Finsler metrics
    • Authors: Hongmei ZHU
      Pages: 695 - 708
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Hongmei ZHU
      In this article, we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a Riemannian metric α and a 1-form β. We determine all of Douglas general (α, β)-metrics on a manifold of dimension n > 2.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30775-6
       
  • Stability and bifurcation analysis of a delayed innovation diffusion model
    • Authors: Rakesh KUMAR; Anuj Kumar SHARMA; Kulbhushan AGNIHOTRI
      Pages: 709 - 732
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Rakesh KUMAR, Anuj Kumar SHARMA, Kulbhushan AGNIHOTRI
      In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage (time delay) is proposed. The model is analyzed by considering the effects of external as well as internal influences and other demographic processes such as emigration, intrinsic growth rate, death rate, etc. The asymptotical stability of the various equilibria is investigated. By analyzing the exponential characteristic equation with delay-dependent coefficients obtained through the variational matrix, it is found that Hopf bifurcation occurs when the evaluation period (time delay, τ) passes through a critical value. Applying the normal form theory and the center manifold argument, we derive the explicit formulas determining the properties of the bifurcating periodic solutions. To illustrate our theoretical analysis, some numerical simulations are also included.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30776-8
       
  • Existence and blow-up behavior of constrained minimizers for
           Schrödinger-Poisson-Slater system
    • Authors: Xincai ZHU
      Pages: 733 - 744
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Xincai ZHU
      In this article, we study constrained minimizers of the following variational problem e ( ρ ) : = inf { u ∈ H 1 ( R 3 ) , ‖ u ‖ 2 2 = ρ } E ( u ) , ρ   >   0 , where E(u) is the Schrödinger-Poisson-Slater (SPS) energy functional E ( u ) : = 1 2 ∫ R 3 ∇ u ( x ) 2 d x - 1 4 ∫ R 3 ∫ R 3 u 2 ( y ) u 2 ( x ) x - y d y d x - 1 p ∫ R 3 u ( x ) p d x   in   R 3 , and p∈ (2, 6). We prove the existence of minimizers for the cases 2 < p < 10 3 , ρ > 0, and p = 10 3 , 0 < ρ < ρ *, and show that e(ρ)= − ∞ for the other cases, where ρ* = ‖ ϕ ‖ 2 2 and ϕ(x) is the unique (up to translations) positive radially symmetric solution of - Δ u + u = u 7 3 in R 3 . Moreover, when e ( ρ * ) = - ∞ , the blow-up behavior of minimizers as ρ ↗ ρ * is also analyzed rigorously.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30777-x
       
  • Convergence from an electromagnetic fluid system to the full compressible
           MHD equations
    • Authors: Xin
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Xin XU
      We are concerned with the zero dielectric constant limit for the full electro-magneto-fluid dynamics in this article. This singular limit is justified rigorously for global smooth solution for both well-prepared and ill-prepared initial data. The explicit convergence rate is also obtained by a elaborate energy estimate. Moreover, we show that for the well-prepared initial data, there is no initial layer, and the electric field always converges strongly to the limit function. While for the ill-prepared data case, there will be an initial layer near t=0. The strong convergence results only hold outside the initial layer.

      PubDate: 2018-05-28T00:37:51Z
       
  • A generalization of Gauss-Kuzmin-Lévy theorem
    • Authors: Peng SUN
      Abstract: Publication date: May 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 3
      Author(s): Peng SUN
      We prove a generalized Gauss-Kuzmin-Lévy theorem for the generalized Gauss transformation T p ( x ) = { p x } . In addition, we give an estimate for the constant that appears in the theorem.

      PubDate: 2018-05-28T00:37:51Z
       
 
 
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