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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
       
  • Products of weighted composition and differentiation operators into
           weighted Zygmund and Bloch spaces
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Jasbir Singh MANHAS, Ruhan ZHAO
      We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bloch spaces with general weights.

      PubDate: 2018-06-24T04:38:41Z
       
  • A note on the uniqueness and the non-degeneracy of positive radial
           solutions for semilinear elliptic problems and its application
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Shinji ADACHI, Masataka SHIBATA, Tatsuya WATANABE
      In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified Schrödinger equations.

      PubDate: 2018-06-24T04:38:41Z
       
  • Solutions to the system of operator equations AXB=C=BXA
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Xiao ZHANG, Guoxing JI
      In this paper, we present some necessary and sufficient conditions for the existence of solutions, hermitian solutions and positive solutions to the system of operator equations AXB=C=BXA in the setting of bounded linear operators on a Hilbert space. Moreover, we obtain the general forms of solutions, hermitian solutions and positive solutions to the system above.

      PubDate: 2018-06-24T04:38:41Z
       
  • Burkholder-Gundy-Davis inequality in martingale Hardy spaces with variable
           exponent
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Peide LIU, Maofa WANG
      In this article, by extending classical Dellacherie's theorem on stochastic sequences to variable exponent spaces, we prove that the famous Burkholder-Gundy-Davis inequality holds for martingales in variable exponent Hardy spaces. We also obtain the variable exponent analogues of several martingale inequalities in classical theory, including convexity lemma, Chevalier's inequality and the equivalence of two kinds of martingale spaces with predictable control. Moreover, under the regular condition on σ-algebra sequence we prove the equivalence between five kinds of variable exponent martingale Hardy spaces.

      PubDate: 2018-06-24T04:38:41Z
       
  • Chain conditions for C*-algebras coming from Hilbert C*-modules
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Mahmood POURGHOLAMHOSSEIN, Mohammad ROUZBEHANI, Massoud AMINI
      In this paper we define and study chain conditions for Hilbert C*-modules through their C*-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that these chain conditions are passed from the C*-algebra to its Hilbert module under certain conditions. We also study chain conditions for Hilbert modules coming from inclusion of C*-algebra with a faithful conditional expectation.

      PubDate: 2018-06-24T04:38:41Z
       
  • Singular limit solutions for 2-dimensional elliptic system with
           sub-quadrtatic convection term
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Nihed TRABELSI
      The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition method.

      PubDate: 2018-06-24T04:38:41Z
       
  • The representation of the solution of Sturm-Liouville equation with
           discontinuity conditions
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Ozge AKCAY
      The aim of this paper is to construct the integral representation of the solution of Sturm-Liouville equation with eigenparameter-dependent discontinuity conditions at an interior point of the finite interval. Moreover, we examine the properties of the kernel function of this integral representation and obtain the partial differential equation provided by this kernel function.

      PubDate: 2018-06-24T04:38:41Z
       
  • The oscillation of the Poisson semigroup associated to parabolic Hermite
           operator
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Ping LI, Congbian MA, Youliang HOU
      Let O ( P τ L ) be the oscillation of the Possion semigroup associated with the parabolic Hermite operator L = ∂ t - Δ + x 2 . We show that O ( P τ L ) is bounded from L p ( R n + 1 ) into itself for 1 < p < ∞, bounded from L 1 ( R n + 1 ) into weak- L 1 ( R n + 1 ) and bounded from L c ∞ ( R n + 1 ) into BMO ( R n + 1 ) . In the case p =∞ we show that the range of the image of the operator O ( P τ L ) is strictly smaller than the range of a general singular operator.

      PubDate: 2018-06-24T04:38:41Z
       
  • An asymptotic behavior and a posteriori error estimates for the
           generalized Schwartz method of advection-diffusion equation
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Salah BOULAARAS, Mohammed Said TOUATI BRAHIM, Smail BOUZENADA, Abderrahmane ZARAI
      In this paper, a posteriori error estimates for the generalized Schwartz method with Dirichlet boundary conditions on the interfaces for advection-diffusion equation with second order boundary value problems are proved by using the Euler time scheme combined with Galerkin spatial method. Furthermore, an asymptotic behavior in Sobolev norm is deduced using Benssoussan-Lions' algorithm. Finally, the results of some numerical experiments are presented to support the theory.

      PubDate: 2018-06-24T04:38:41Z
       
  • The Picard Theorem on S-metric spaces
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Nihal Yilmaz ÖZGÜR, Nihal TAŞ
      Recently, the notion of an S-metric space is defined and extensively studied as a generalization of a metric space. In this paper, we define the notion of the S ∞-space and prove its completeness. We obtain a new generalization of the classical “Picard Theorem”.

      PubDate: 2018-06-24T04:38:41Z
       
  • A note on exact convergence rate in the local limit theorem for a lattice
           branching random walk
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Zhiqiang GAO
      Consider a branching random walk, where the underlying branching mechanism is governed by a Galton-Watson process and the moving law of particles by a discrete random variable on the integer lattice Z . Denote by Z_n(z) the number of particles in the n-th generation in the model for each z ∈ Z . We derive the exact convergence rate in the local limit theorem for Z_n(z) assuming a condition like “ E N ( log N ) 1 + λ < ∞ ” for the offspring distribution and a finite moment condition on the motion law. This complements the known results for the strongly non-lattice branching random walk on the real line and for the simple symmetric branching random walk on the integer lattice.

      PubDate: 2018-06-24T04:38:41Z
       
  • A corrector-predictor arc search interior-point algorithm for symmetric
           optimization
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): M. PIRHAJI, M. ZANGIABADI, H. MANSOURI
      In this paper, a corrector-predictor interior-point algorithm is proposed for symmetric optimization. The algorithm approximates the central path by an ellipse, follows the ellipsoidal approximation of the central-path step by step and generates a sequence of iterates in a wide neighborhood of the central-path. Using the machinery of Euclidean Jordan algebra and the commutative class of search directions, the convergence analysis of the algorithm is shown and it is proved that the algorithm has the complexity bound O ( r L ) for the well-known Nesterov-Todd search direction and O(rL) for the xs and sx search directions.

      PubDate: 2018-06-24T04:38:41Z
       
  • Optimization approach for the Monge-Ampère equation
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Fethi BEN BELGACEM
      In this paper, we introduce and study a method for the numerical solution of the elliptic Monge-Ampère equation with Dirichlet boundary conditions. We formulate the Monge-Ampère equation as an optimization problem. The latter involves a Poisson Problem which is solved by the finite element Galerkin method and the minimum is computed by the conjugate gradient algorithm. We also present some numerical experiments.

      PubDate: 2018-06-24T04:38:41Z
       
  • Three nontrivial solutions for a nonlinear anisotropic nonlocal equation
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Amin ESFAHANI
      In this article, we establish the existence of a sign-changing solution and two sign-constant solutions for nonlinear nonlocal problem involving the BO-ZK operator on bounded domain. Our main tool is constrained minimization on appropriate Nehari manifolds.

      PubDate: 2018-06-24T04:38:41Z
       
  • Mathematical model for the enterprise competitive ability and performance
           through a particular Emden-Fowler Equation u″-n-q-1u(n)q=0
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Yue-Loong CHANG, Meng-Rong LI, C. Jack YUE, Yong-Shiuan LEE, Tsung-Jui CHIANG-LIN
      In this article, we work with the ordinary equation u ″ - n - q - 1 u ( n ) q = 0 and learn some interesting phenomena concerning the blow-up and the blow-up rate of solution to the equation.

      PubDate: 2018-06-24T04:38:41Z
       
  • Deviation of the error estimation for Volterra integro-differential
           equations
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Mohammad ZAREBNIA, Reza PARVAZ, Amir SABOOR BAGHERZADEH
      In this paper, we study an efficient asymptotically correction of a-posteriori error estimator for the numerical approximation of Volterra integro-differential equations by piecewise polynomial collocation method. The deviation of the error for Volterra integro-differential equations by using the defect correction principle is defined. Also, it is shown that for m degree piecewise polynomial collocation method, our method provides O ( h m + 1 ) as the order of the deviation of the error. The theoretical behavior is tested on examples and it is shown that the numerical results confirm the theoretical part.

      PubDate: 2018-06-24T04:38:41Z
       
  • Parameter identification by optimization method for a pollution problem in
           porous media
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): R. ABOULAICH, B. ACHCHAB, A. DAROUICHI
      In the present work, we investigate the inverse problem of reconstructing the parameter of an integro-differential parabolic equation, which comes from pollution problems in porous media, when the final observation is given. We use the optimal control framework to establish both the existence and necessary condition of the minimizer for the cost functional. Furthermore, we prove the stability and the local uniqueness of the minimizer. Some numerical results will be presented and discussed.

      PubDate: 2018-06-24T04:38:41Z
       
  • Optimal error estimates of a decoupled scheme based on two-grid finite
           element for mixed Navier-Stokes/Darcy Model
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Yi QIN, Yanren HOU
      Although the two-grid finite element decoupled scheme for mixed Navier-Stokes/Darcy model in literatures has given the numerical results of optimal convergence order, the theoretical analysis only obtain the optimal error order for the porous media flow and a non-optimal error order for the fluid flow. In this article, we give a more rigorous of the error analysis for the fluid flow and obtain the optimal error estimates of the velocity and the pressure.

      PubDate: 2018-06-24T04:38:41Z
       
  • Pullback exponential attractors for the non-autonomous micropolar fluid
           flows
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Wenlong SUN, Yeping LI
      This paper investigates the pullback asymptotic behaviors for the non-autonomous micropolar fluid flows in 2D bounded domains. We use the energy method, combining with some important properties of the generated processes, to prove the existence of pullback exponential attractors and global pullback attractors and show that they both with finite fractal dimension. Further, we give the relationship between global pullback attractors and pullback exponential attractors.

      PubDate: 2018-06-24T04:38:41Z
       
  • On the finite Mellin transform in quantum calculus and application
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Bochra NEFZI, Kamel BRAHIM, Ahmed FITOUHI
      The aim of the present paper is to introduce and study a new type of q-Mellin transform [11], that will be called q-finite Mellin transform. In particular, we prove for this new transform an inversion formula and q-convolution product. The application of this transform is also earlier proposed in solving procedure for a new equation with a new fractional differential operator of a variational type.

      PubDate: 2018-06-24T04:38:41Z
       
  • Generalized discrete q-Hermite I polynomials and q-deformed oscillator
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Kamel MEZLINI, Néji BETTAIBI
      In this paper, we present an explicit realization of q-deformed Calogero-Vasiliev algebra whose generators are first-order q-difference operators related to the generalized discrete q-Hermite I polynomials recently introduced in [14]. Furthermore, we construct the wave functions and we determine the q-coherent states.

      PubDate: 2018-06-24T04:38:41Z
       
  • Weighted composition operators on the Hilbert space of Dirichlet series
    • Abstract: Publication date: July 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 4
      Author(s): Maofa WANG, Xingxing YAO, Fangwen DENG
      In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized, and the spectra of compact and invertible weighted composition operators are also described.

      PubDate: 2018-06-24T04:38:41Z
       
  • 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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