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  Subjects -> MATHEMATICS (Total: 1040 journals)
    - APPLIED MATHEMATICS (83 journals)
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    - MATHEMATICS (770 journals)
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MATHEMATICS (770 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
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: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 38)
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: 12)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 9)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 21)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 8)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 17)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 17)
Advances in Mathematical Physics     Open Access   (Followers: 7)
Advances in Mathematics     Full-text available via subscription   (Followers: 15)
Advances in Nonlinear Analysis     Open Access  
Advances in Numerical Analysis     Open Access   (Followers: 7)
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: 8)
Advances in Pure Mathematics     Open Access   (Followers: 9)
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: 7)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 2)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 7)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 8)
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: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 11)
Anadol University Journal of Science and Technology B : Theoritical Sciences     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 6)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 3)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – 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: 13)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 7)
Annals of Mathematics     Full-text available via subscription   (Followers: 2)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 4)
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  
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 1)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 14)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics     Open Access   (Followers: 8)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 10)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 4)
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: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 25)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 3)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
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)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
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: 2)
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: 13)
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: 3)
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: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
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)
Chaos, Solitons & Fractals : X     Open Access  
ChemSusChem     Hybrid Journal   (Followers: 8)
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: 3)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 15)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 4)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus Mathematique     Full-text available via subscription  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
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: 10)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 8)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
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: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 15)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 31)
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: 4)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal  
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: 2)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  

        1 2 3 4 | Last

Similar Journals
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 - ISSN (Online) 1572-9087
Published by Elsevier Homepage  [3181 journals]
  • Existence of ground state solutions to Hamiltonian elliptic system with
           potentials
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Wenbo WANG, Quanqing LI In this paper, we investigate nonlinear Hamiltonian elliptic system {(-Δ)u=b→(x)⋅∇u+(V(x)+τ)u=K(x)g(v)inℝℕ,(-Δ)v=b→(x)⋅∇v+(V(x)+τ)v=K(x)f(u)inℝℕ,u(x)→0andv(x)→0as x →∞,where N ≥ 3, τ> 0 is a positive parameter and V, K are nonnegative continuous functions, f and g are both superlinear at 0 with a quasicritical growth at infinity. By establishing a variational setting, the existence of ground state solutions is obtained.
       
  • Herman rings with small periods and omitted values
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Tarun Kumar CHAKRA, Gorachand CHAKRABORTY, Tarakanta NAYAK All possible arrangements of cycles of three periodic as well as four periodic Herman rings of transcendental meromorphic functions having at least one omitted value are determined. It is shown that if p = 3 or 4, then the number of p-cycles of Herman rings is at most one. We have also proved a result about the non-existence of a 3-cycle and a 4-cycle of Herman rings simultaneously. Finally some examples of functions having no Herman ring are discussed.
       
  • Finite extensions of generalized Bessel sequences to generalized frames
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Dengfeng LI, Yanting LI The objective of this paper is to investigate the question of modifying a given generalized Bessel sequence to yield a generalized frame or a tight generalized frame by finite extension. Some necessary and sufficient conditions for the finite extensions of generalized Bessel sequences to generalized frames or tight generalized frames are provided, and every result is illustrated by the corresponding example.
       
  • Robust exponential stability of switched delay interconnected systems
           under arbitrary switching
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Huanbin XUE, Jiye ZHANG The problem of robust exponential stability for a class of switched nonlinear dynamical systems with uncertainties and unbounded delay is addressed. On the assumption that the interconnected functions of the studied systems satisfy the Lipschitz condition, by resorting to vector Lyapunov approach and M-matrix theory, the sufficient conditions to ensure the robust exponential stability of the switched interconnected systems under arbitrary switching are obtained. The proposed method, which neither require the individual subsystems to share a Common Lyapunov Function (CLF), nor need to involve the values of individual Lyapunov functions at each switching time, provide a new way of thinking to study the stability of arbitrary switching. In addition, the proposed criteria are explicit, and it is convenient for practical applications. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the proposed theories.
       
  • On Banach-Stone type theorems in uniform multiplicative subgroups of
           C(K)-spaces
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Yunbai DONG, Pei-Kee LIN, Bentuo ZHENG In this article, we study the preservation properties of (Šilov) boundary of multiplicative subgroups in C(X) spaces for non-surjective norm-preserving multiplicative maps. We also show a sufficient condition for surjective maps between groups of positive continuous functions to be a composition operator.
       
  • Lichnerowicz-Obata theorem for Kohn Laplacian on the real ellipsoid
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Guijuan LIN We give the sharp lower bound for Ricci curvature on the real ellipsoid in Cn+1, and prove the Lichnerowicz-Obata theorem for Kohn Laplacian.
       
  • Boundary feedback stabilization of Boussinesq equations
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Hanbing LIU, Haijun XIAO The aim of this work is to design oblique boundary feedback controller for stabilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain in ℝ2. Two kinds of such feedback controller are provided, one is the proportional stabilizable feedback control, which is obtained by spectrum decomposition method, while another one is constructed via the Ricatti operator for an infinite time horizon optimal control problem. An example of periodic Boussinesq flow in 2-D channel is also given.
       
  • An integral estimate and the equivalent norms on F(p, q, s, k) spaces in
           the unit ball
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Xuejun ZHANG, Shenlian LI, Qingli SHANG, Yuting GUO In this article, the authors give a typical integral's bidirectional estimates for all cases. At the same time, several equivalent characterizations on the F(p, q, s, k) space in the unit ball of Cn are given.
       
  • The GLM representation of the two-component nonlinear Schrödinger
           equation on the half-line
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Qiaozhen ZHU, Engui FAN, Jian XU The Gelfand-Levitan-Marchenko representation is used to analyze the initial-boundary value problem of two-component nonlinear Schrödinger equation on the half-line. It has shown that the global relation can be effectively analyzed by the Gelfand-Levitan-Marchenko representation. we also derive expressions for the Dirichlet-to-Neumann map to characterize the unknown boundary values.
       
  • Global well-posedness for the density-dependent incompressible
           magnetohydrodynamic flows in bounded domains
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Defu CHEN, Xia YE In this paper, we study the three-dimensional incompressible magnetohydrodynamic equations in a smooth bounded domains, in which the viscosity of the fluid and the magnetic diffusivity are concerned with density. The existence of global strong solutions is established in vacuum cases, provided the assumption that ( ∇μ(ρ0) Lp + ∇ν(ρ0) Lq + b0 L3 + ρ0 L∞) (p, q> 3) is small enough, there is not any smallness condition on the velocity.
       
  • Existence of multiple solutions for a fractional p-Laplacian system with
           concave-convex term
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Junhui XIE, Xiaozhong HUANG, Yiping CHEN In this article, we study the existence of multiple solutions for the following system driven by a nonlocal integro-differential operator with zero Dirichlet boundary conditions (0.1){(-Δ)psu=a(x) u q-2u+2αα+βc(x) u α-2u v β,in Ω,(-Δ)psu=b(x) v q-2v+2βα+βc(x) u α v β-2v,in Ω,u=v=0,inRn\Ω,where O is a smooth bounded domain in Rn, n> ps with s ɛ (0, 1) fixed, a(x), b(x), c(x) ≥ 0 and a(x), b(x), c(x) ɛ L∞(0), 1 < q < p and α, β> 1 satisfy p < α + β < p*, p* =npn-ps. By Nehari manifold and fibering maps with proper conditions, we obtain the multiplicity of solutions to problem (0.1).
       
  • Algorithms for a system of generalized mixed equilibrium problems and a
           countable family of some nonlinear multi-valued nonexpansive-type maps
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Ogonnaya Michael ROMANUS, Ukamaka Victoria NNYABA, Monday Ogudu NNAKWE In this paper, relaxed iterative algorithms of Krasnoselskii-type and Halpern-type that approximate a solution of a system of a generalized mixed equilibrium problem and a common fixed point of a countable family of totally quasi-ϕ-asymptotically nonexpansive multi-valued maps are constructed. Strong convergence of the sequence generated by these algorithms is proved in uniformly smooth and strictly convex real Banach spaces with Kadec-Klee property. Furthermore, several applications of our theorems are also presented. Finally, our theorems are significant improvements on several important recent results for this class of nonlinear problems.
       
  • The Cn WP-Bailey chain
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Zhizheng ZHANG, Junli HUANG The purpose of this paper is to introduce the concept of Cn WP-Bailey pairs. The Cn WP-Bailey transform is obtained by applying the Cn6ϕ5 summation formula. From this result, the Cn WP-Bailey lemma is deduced by making use of the Cn q-Dougall summation formula. Some applications are investigated. Finally, the case of elliptic Cn WP-Bailey pairs is discussed.
       
  • Carleson measures and the generalized Campanato spaces of vector-valued
           martingales
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Lin YU, Ruhui WANG, Shoujiang ZHAO In this paper, the so-called (p, ϕ)-Carleson measure is introduced and the relationship between vector-valued martingales in the general Campanato spaces ℒp, ϕ(X) and the (p, ϕ)-Carleson measures is investigated. Specifically, it is proved that for q ɛ [2, ∞), the measure dμ := dfk qdℙ ⊗ dm is a (q, ϕ)-Carleson measure on Ω × ℕ for every f ɛ ℒq, ϕ(X) if and only if X has an equivalent norm which is q-uniformly convex; while for p ɛ (1, 2], the measure dμ:= dfk pdℙ ⊗ dm is a (p, ϕ)-Carleson measure on Ω × ℕ implies that f ɛ ℒp, ϕ(X) if and only if X admits an equivalent norm which is p-uniformly smooth. This result extends an earlier result in the literature from BMO spaces to general Campanato spaces.
       
  • Existence of solutions for gradient systems with application to diffusion
           problems involving nonconvex energies
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Sahbi BOUSSANDEL In this paper, we establish the existence of solutions for gradient systems of evolution under some type (M) and semi-coerciveness conditions. The main result is applied in order to solve nonlinear diffusion equations involving nonconvex energies.
       
  • Local existence and blow-up criterion of 3D ideal magnetohydrodynamics
           equations
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Jae-Myoung KIM We investigate the local existence of smooth solutions of a 3D ideal magnetohydrodynamics (MHD) equations in a bounded domain and give a blow-up criteria to this equations with respect to vorticists.
       
  • Harnack and mean value inequalities on graphs
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Yong LIN, Hongye SONG We prove a Harnack inequality for positive harmonic functions on graphs which is similar to a classical result of Yau on Riemannian manifolds. Also, we prove a mean value inequality of nonnegative subharmonic functions on graphs.
       
  • Dynamics of a hepatitis B model with saturated incidence
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Liya LIU, Daqing JIANG, Tasawar HAYAT, Bashir AHMAD In this article, we present a hepatitis B epidemic model with saturated incidence. The dynamic behaviors of the deterministic and stochastic system are studied. To this end, we first establish the local and global stability conditions of the equilibrium of the deterministic model. Second, by constructing suitable stochastic Lyapunov functions, the sufficient conditions for the existence of ergodic stationary distribution as well as extinction of hepatitis B are obtained.
       
  • R N &rft.title=Acta+Mathematica+Scientia&rft.issn=0252-9602&rft.date=&rft.volume=">Sign-changing solutions for the stationary Kirchhoff problems involving
           the fractional Laplacian in R N
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Kun CHENG, Qi GAO In this paper, we study the existence of least energy sign-changing solutions for a Kirchhoff-type problem involving the fractional Laplacian operator. By using the constraint variation method and quantitative deformation lemma, we obtain a least energy nodal solution ub for the given problem. Moreover, we show that the energy of ub is strictly larger than twice the ground state energy. We also give a convergence property of ub as b ↘ 0, where b is regarded as a positive parameter.
       
  • Alternating direction implicit OSC scheme for the two-dimensional
           fractional evolution equation with a weakly singular kernel
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Haixiang ZHANG, Xuehua YANG, Da XU In this paper, a new kind of alternating direction implicit (ADI) Crank-Nicolson-type orthogonal spline collocation (OSC) method is formulated for the two-dimensional fractional evolution equation with a weakly singular kernel arising in the theory of linear viscoelasticity. The novel OSC method is used for the spatial discretization, and ADI Crank-Nicolson-type method combined with the second order fractional quadrature rule are considered for the temporal component. The stability of proposed scheme is rigourously established, and nearly optimal order error estimate is also derived. Numerical experiments are conducted to support the predicted convergence rates and also exhibit expected super-convergence phenomena.
       
  • A note on q-difference operator and related limit direction
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Yezhou LI, Ningfang SONG The growth of entire functions under the q-difference operators is studied in this paper, and then some properties of Julia set of entire functions under the higher order q-difference operators are obtained.
       
  • The combined inviscid and non-resistive limit for the nonhomogeneous
           incompressible magnetohydrodynamic equations with Navier boundary
           conditions
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Zhipeng ZHANG In this paper, we establish the existence of the global weak solutions for the nonhomogeneous incompressible magnetohydrodynamic equations with Navier boundary conditions for the velocity field and the magnetic field in a bounded domain Ω ⊂ R3. Furthermore, we prove that as the viscosity and resistivity coefficients go to zero simultaneously, these weak solutions converge to the strong one of the ideal nonhomogeneous incompressible magnetohydrodynamic equations in energy space.
       
  • Nonlinear semigroup approach to transport equations with delayed neutrons
    • Abstract: Publication date: November 2018Source: Acta Mathematica Scientia, Volume 38, Issue 6Author(s): Abdul-Majeed AL-IZERI, Khalid LATRACH This paper deal with a nonlinear transport equation with delayed neutron and general boundary conditions. We establish, via the nonlinear semigroups approach, the existence and uniqueness of the mild solution, weak solution, strong solution and local solution on Lp-spaces (1 ≥ p
       
  • Review on mathematical analysis of some two-phase flow models
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Huanyao WEN, Lei YAO, Changjiang ZHU The two-phase flow models are commonly used in industrial applications, such as nuclear, power, chemical-process, oil-and-gas, cryogenics, bio-medical, micro-technology and so on. This is a survey paper on the study of compressible nonconservative two-fluid model, drift-flux model and viscous liquid-gas two-phase flow model. We give the research developments of these three two-phase flow models, respectively. In the last part, we give some open problems about the above models.
       
  • Hölder continuous solutions Of Boussinesq equations
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Tao TAO, Liqun ZHANG We show the existence of dissipative Hölder continuous solutions of the Boussinesq equations. More precise, for any β ∈(0,⅕), a time interval [0,T] and any given smooth energy profile e:[0,T] → (0,∞), there exist a weak solution (v, θ) of the 3d Boussinesq equations such that (v,θ) ∈ Cβ × [0,T] with e(t) = ∫T3 v(x,t) 2 dx for all t ∈ [0,T]. This extend the result of [2] about Onsager's conjecture into Boussinesq equation and improve our previous result in [30].
       
  • Strong comparison principles for some nonlinear degenerate elliptic
           equations
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Yanyan LI, Bo WANG In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form ∇2 ψ + L(x, ∇ ψ), including the conformal hessian operator.
       
  • Radial symmetry for systems of fractional Laplacian
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Congming LI, Zhigang WU In this paper, we consider systems of fractional Laplacian equations in ℝn with nonlinear terms satisfying some quite general structural conditions. These systems were categorized critical and subcritical cases. We show that there is no positive solution in the subcritical cases, and we classify all positive solutions ui in the critical cases by using a direct method of moving planes introduced in Chen-Li-Li [11] and some new maximum principles in Li-Wu-Xu [27].
       
  • Macroscopic regularity for the Boltzmann equation
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Feimin HUANG, Yong WANG The regularity of solutions to the Boltzmann equation is a fundamental problem in the kinetic theory. In this paper, the case with angular cut-off is investigated. It is shown that the macroscopic parts of solutions to the Boltzmann equation, i.e., the density, momentum and total energy are continuous functions of (x,t) in the region ℝ3 × (0, + ∞). More precisely, these macroscopic quantities immediately become continuous in any positive time even though they are initially discontinuous and the discontinuities of solutions propagate only in the microscopic level. It should be noted that such kind of phenomenon can not happen for the compressible Navier-Stokes equations in which the initial discontinuities of the density never vanish in any finite time, see [22]. This hints that the Boltzmann equation has better regularity effect in the macroscopic level than compressible Navier-Stokes equations.
       
  • One-dimensional viscous radiative gas with temperature dependent viscosity
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Lin HE, Yongkai LIAO, Tao WANG, Huijiang ZHAO This paper is concerned with the construction of global, large amplitude solutions to the Cauchy problem of the one-dimensional compressible Navier-Stokes system for a viscous radiative gas when the viscosity and heat conductivity coefficients depend on both specific volume and absolute temperature. The data are assumed to be without vacuum, mass concentrations, or vanishing temperatures, and the same is shown to be hold for the global solution constructed. The proof is based on some detailed analysis on uniform positive lower and upper bounds of the specific volume and absolute temperature.
       
  • Stability of steady multi-wave configurations for the full Euler equations
           of compressible fluid flow
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Gui-Qiang G. CHEN, Matthew RIGBY We are concerned with the stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow. In this paper, we focus on the stability of steady four-wave configurations that are the solutions of the Riemann problem in the flow direction, consisting of two shocks, one vortex sheet, and one entropy wave, which is one of the core multi-wave configurations for the two-dimensional Euler equations. It is proved that such steady four-wave configurations in supersonic flow are stable in structure globally, even under the BV perturbation of the incoming flow in the flow direction. In order to achieve this, we first formulate the problem as the Cauchy problem (initial value problem) in the flow direction, and then develop a modified Glimm difference scheme and identify a Glimm-type functional to obtain the required BV estimates by tracing the interactions not only between the strong shocks and weak waves, but also between the strong vortex sheet/entropy wave and weak waves. The key feature of the Euler equations is that the reflection coefficient is always less than $1$, when a weak wave of different family interacts with the strong vortex sheet/entropy wave or the shock wave, which is crucial to guarantee that the Glimm functional is decreasing. Then these estimates are employed to establish the convergence of the approximate solutions to a global entropy solution, close to the background solution of steady four-wave configuration.
       
  • Yau's uniformization conjecture for manifolds with non-maximal volume
           growth
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Binglong CHEN, Xiping ZHU The well-known Yau's uniformization conjecture states that any complete noncompact Kähler manifold with positive bisectional curvature is bi-holomorphic to the Euclidean space. The conjecture for the case of maximal volume growth has been recently confirmed by G. Liu in [23]. In the first part, we will give a survey on the progress. In the second part, we will consider Yau's conjecture for manifolds with non-maximal volume growth. We will show that the finiteness of the first Chern number C1n is an essential condition to solve Yau's conjecture by using algebraic embedding method. Moreover, we prove that, under bounded curvature conditions, C1n is automatically finite provided that there exists a positive line bundle with finite Chern number. In particular, we obtain a partial answer to Yau's uniformization conjecture on Kähler manifolds with minimal volume growth.
       
  • Regularization of planar vortices for the incompressible flow
    • Abstract: Publication date: September 2018Source: Acta Mathematica Scientia, Volume 38, Issue 5Author(s): Daomin CAO, Shuangjie PENG, Shusen YAN In this paper, we continue to construct stationary classical solutions for the incompressible planar flows approximating singular stationary solutions of this problem. This procedure is carried out by constructing solutions for the following elliptic equations {-Δu=λ∑j=1k1Bδ(xO,j)(u-kj)+p, in Ω,u=0,on ∂Ωwhere 0 < p < 1, ⊂ ℝ2 is a bounded simply-connected smooth domain, κ (i, 1, …, k) is prescribed positive constant. The result we prove is that for any given non-degenerate critical point x0 = (x0,1, … x0, k) of the Kirchhoff-Routh function defined on Ωk corresponding to (κ1, …, κk), there exists a stationary classical solution approximating stationary k points vortex solution. Moreover, as λ → + ∞, the vorticity set {y: uλ> κj} ∩ Bδ(x0, j) shrinks to {x0, j}, and the local vorticity strength near each x0, j approaches κj, j = 1, …, k. This result makes the study of the above problem with p ≥ 0 complete since the cases p 1, p = 1, p = 0 have already been studied in [11, 12] and [13] respectively.
       
 
 
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