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  Subjects -> MATHEMATICS (Total: 910 journals)
    - APPLIED MATHEMATICS (75 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (677 journals)
    - MATHEMATICS (GENERAL) (41 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (78 journals)

MATHEMATICS (677 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: 3)
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     Full-text available via subscription   (Followers: 25)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 6)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 11)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
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: 4)
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: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
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: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
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: 3)
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: 3)
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  
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)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 6)
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: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 21)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 3)
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  
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: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 11)
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 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: 20)
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: 6)
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: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
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: 9)
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: 4)
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: 7)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 10)
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: 28)
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 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)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)

        1 2 3 4 | Last

Journal Cover Applied Mathematics Letters
  [SJR: 1.141]   [H-I: 65]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0893-9659
   Published by Elsevier Homepage  [3123 journals]
  • A Carleman estimate of some anisotropic space-fractional diffusion
           equations
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Junxiong Jia, Bangyu Wu
      This paper is concerned with Carleman estimates for some anisotropic space-fractional diffusion equations, which are important tools for investigating the corresponding control and inverse problems. By employing a special weight function and the nonlocal vector calculus, we prove a Carleman estimate and apply it to build a stability result for a backward diffusion problem.

      PubDate: 2018-02-05T08:40:20Z
       
  • Global well-posedness of weak solutions and a regularity criterion of
           strong solutions for an epitaxial growth model
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Jishan Fan, Bessem Samet, Yong Zhou
      In this paper, we first prove global well-posedness of weak solutions for an epitaxial growth model with L 2 initial data in any dimension d . Then, we establish a regularity criterion of strong solutions with dimension d ≥ 3 .

      PubDate: 2018-02-05T08:40:20Z
       
  • Triple positive solutions for nonlocal fractional differential equations
           with singularities both on time and space variables
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Xingqiu Zhang, Qiuyan Zhong
      In this paper, different height functions of the nonlinear term on special bounded sets together with Leggett–Williams and Krasnosel’skii fixed point theorems are employed to establish the existence of triple positive solutions for a class of higher-order fractional differential equations with integral conditions. The singularities are with respect not only to the time but also to the space variables.

      PubDate: 2018-02-05T08:40:20Z
       
  • Blow-up results for viscoelastic wave equations with weak damping
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Sun-Hye Park, Mi Jin Lee, Jum-Ran Kang
      In this work we consider a viscoelastic wave equation of the form u t t − Δ u + ∫ 0 t g ( t − s ) Δ u ( s ) d s + h ( u t ) = u p − 2 u with Dirichlet boundary condition. There are much literature on the blow-up result of solutions for the wave equation with damping term having polynomial growth near zero. However, to my knowledge, there is no blow-up result of solutions for the viscoelastic wave equation without polynomial growth near zero assumption on the damping term. This work is devoted to study a finite time blow-up result of solution with nonpositive initial energy as well as positive initial energy without imposing any restrictive growth near zero assumption on the damping term.

      PubDate: 2018-02-05T08:40:20Z
       
  • Semi-rational solutions for the (2+1)-dimensional nonlocal Fokas system
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Yulei Cao, Jiguang Rao, Dumitru Mihalache, Jingsong He
      The ( 2 + 1 ) -dimensional [ ( 2 + 1 ) d ] Fokas system is a natural and simple extension of the nonlinear Schrödinger equation (see Eq. (2) in Fokas, 1994). In this letter, we introduce its PT -symmetric version, which is called the ( 2 + 1 ) d nonlocal Fokas system. The N -soliton solutions for this system are obtained by using the Hirota bilinear method whereas the semi-rational solutions are generated by taking the long-wave limit of a part of exponential functions in the general expression of the N -soliton solution. Three kinds of semi-rational solutions, namely (1) a hybrid of rogue waves and periodic line waves, (2) a hybrid of lump and breather solutions, and (3) a hybrid of lump, breather, and periodic line waves are put forward and their rather complicated dynamics is revealed.

      PubDate: 2018-02-05T08:40:20Z
       
  • A “converse” stability condition is necessary for a compact higher
           order scheme on non-uniform meshes for the time-dependent Schrödinger
           equation
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Alexander Zlotnik, Raimondas Čiegis
      The stability bounds and error estimates for a compact higher order Numerov–Crank–Nicolson scheme on non-uniform spatial meshes for the 1D time-dependent Schrödinger equation have been recently derived. This analysis has been done in L 2 and H 1 mesh norms and used the non-standard “converse” condition h ω ≤ c 0 τ , where h ω is the mean spatial step, τ is the time step and c 0 > 0 . Now we prove that such condition is necessary for some families of non-uniform meshes and any spatial norm. Also computational results for zero and non-zero potentials show unacceptably wrong behavior of numerical solutions when τ decreases and this condition is violated.

      PubDate: 2018-02-05T08:40:20Z
       
  • On the missing eigenvalue problem for Dirac operators
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Yu Ping Wang, V.A. Yurko
      The inverse spectral problem for Dirac operators is studied. By using the result on the Weyl m -function, we show that the Hochstadt–Lieberman-type and Borg-type theorem for Dirac operators except for one arbitrary eigenvalue hold.

      PubDate: 2018-02-05T08:40:20Z
       
  • Soliton collisions for the Kundu–Eckhaus equation with variable
           coefficients in an optical fiber
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Xi-Yang Xie, Ze-Hui Yan
      Under investigation in this paper is a Kundu–Eckhaus equation with variable coefficients, which models the propagation of the ultra-short femtosecond pulses in an optical fiber. Bright one- and two-soliton solutions for this equation are constructed, based on the bilinear forms obtained. Then, by the aid of the solutions, propagation of the one solitons and collisions between the two solitons are illustrated in figures, and with the help of the asymptotic analysis on the two-soliton solutions, the collisions are proved to be elastic. Influences of r ( x ) and m ( x ) on the solitons are also be analyzed, where r ( x ) and m ( x ) are respectively the group velocity dispersion and nonlinearity parameter: When they are both chosen as the constants, it can be found that the one solitons propagate with unvarying velocities and amplitudes, and shapes of the two solitons are maintained before and after the collisions; r ( x ) and m ( x ) are found to affect the velocities and amplitudes of the solitons, respectively.

      PubDate: 2018-02-05T08:40:20Z
       
  • The explicit solution to the initial–boundary value problem of
           Gierer–Meinhardt model
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Xiaowei An, Zhen He, Xianfa Song
      Using the solutions of an elliptic system and an ODE system, under certain conditions, we get the explicit solution to the following initial–boundary value problem of Gierer-Meinhardt model u t = d 1 Δ u − a 1 u + u p v q + δ 1 ( x , t ) , x ∈ Ω , t > 0 v t = d 2 Δ v − a 2 v + u r v s + δ 2 ( x , t ) , x ∈ Ω , t > 0 ∂ u ∂ η = ∂ v ∂ η = 0 ( or u = v = 0 ) , x ∈ ∂ Ω , t > 0 u ( x , 0 ) = u 0 ( x ) , v ( x , 0 ) = v 0 ( x ) , x ∈ Ω . Here p > 1 , s > − 1 , d 1 , d 2 , q , r > 0 and a 1 , a 2 ≥ 0 are constants, while δ 1 ( x , t ) and δ 2 ( x , t ) are nonnegative continuous functions.

      PubDate: 2018-02-05T08:40:20Z
       
  • Analysis on dynamics of a population model with
           predator–prey-dependent functional response
    • Abstract: Publication date: June 2018
      Source:Applied Mathematics Letters, Volume 80
      Author(s): Yunfeng Jia
      We consider a reaction–diffusion population model with predator–prey-dependent functional response. Firstly, we discuss the conditions which ensure the model has a unique positive constant solution. Secondly, we investigate the dynamical properties of the model, including the large time behaviors of the nonconstant solutions and the local and the global asymptotic stability of the positive constant solution.

      PubDate: 2018-02-05T08:40:20Z
       
  • Recovering a source term in the time-fractional Burgers equation by an
           energy boundary functional equation
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Chein-Shan Liu, Jiang-Ren Chang
      An inverse source problem for the recovery of an unknown space–time dependent source term of a time-fractional Burgers equation is solved in the paper. By using the prescribed boundary data, a sequence of boundary functions is derived, which together with the zero element constitute a linear space. An energy boundary functional equation is derived in the linear space, of which the time-dependent energy is preserved for each energy boundary function. The iterative algorithm used to recover the unknown source with energy boundary functions as the bases is developed, which is robust and convergent fast.

      PubDate: 2018-02-05T08:40:20Z
       
  • Integral condition for oscillation of half-linear differential equations
           with damping
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Jitsuro Sugie, Kazuki Ishibashi
      The purpose of this paper is to provide an oscillation theorem that can be applied to half-linear differential equations with time-varying coefficients. A parametric curve by the coefficients is focused in order to obtain our theorem. This parametric curve is a generalization of the curve given by the characteristic equation of the second-order linear differential equation with constant coefficients. The obtained theorem is proved by transforming the half-linear differential equation to a standard polar coordinates system and using phase plane analysis carefully.

      PubDate: 2018-02-05T08:40:20Z
       
  • New non-traveling wave solutions for the (3+1)-dimensional
           Boiti–Leon–Manna–Pempinelli equation
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Jian-Guo Liu, Yu Tian, Jian-Guo Hu
      The ( G ′ ∕ G ) -expansion approach is an efficient and well-developed approach to solve nonlinear partial differential equations. In this paper, the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation is investigated by using this approach, which describes the (2+1)-dimensional interaction of the Riemann wave propagated along the y -axis with a long wave propagated along the x -axis and can be considered as a model for the incompressible fluid. With the aid of symbolic computation, a family of exact solutions are obtained in forms of the hyperbolic functions and the trigonometric functions. When the parameters are selected special values, non-traveling wave solutions are also presented, and these gained solutions have abundant structures. The figures corresponding to these solutions are illustrated to show the particular localized excitations and the interactions between two solitary waves.

      PubDate: 2018-02-05T08:40:20Z
       
  • Detection of small inhomogeneities via direct sampling method in
           transverse electric polarization
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Won-Kwang Park
      Various studies have confirmed the possibility of identifying the location of a set of small inhomogeneities via a direct sampling method; however, when their permeability differs from that of the background, their location cannot be satisfactorily identified. However, no theoretical explanation for this phenomenon has been verified. In this study, we demonstrate that the indicator function of the direct sampling method can be expressed by the Bessel function of order one of the first kind and explain why the exact locations of inhomogeneities cannot be identified. Numerical results with noisy data are exhibited to support our examination.

      PubDate: 2018-02-05T08:40:20Z
       
  • Ground state solution for a fourth-order nonlinear elliptic problem with
           logarithmic nonlinearity
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Hongliang Liu, Zhisu Liu, Qizhen Xiao
      In this paper, we study the existence of ground state solutions of nonlinear elliptic equation with logarithmic nonlinearity by the Linking theorem and logarithmic Sobolev inequality. Our results are quite different from those in the case of polynomial nonlinearity.

      PubDate: 2018-02-05T08:40:20Z
       
  • Modulation instability and breathers synchronization of the nonlinear
           Schrödinger Maxwell–Bloch equation
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Da-Wei Zuo
      Nonlinear Schrödinger Maxwell–Bloch equation with a perturbation has been discussed in this paper. By virtue of the Darboux transformation and Joukowsky transformation, three kinds of N -order breathers have been attained. Propagation and interaction of the breathers have been obtained: spectrum parameter determined the types of the breathers; spectrum parameter has affect on the breathers synchronization/asynchronization; breather asynchronization is consistent with theories for relations of modulation instability and rogue waves; Modulation instability has also been discussed.

      PubDate: 2018-02-05T08:40:20Z
       
  • Trefftz energy method for solving the Cauchy problem of the Laplace
           equation
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Chein-Shan Liu, Fajie Wang, Yan Gu
      The inverse Cauchy problem of Laplace equation is hard to solve numerically, since it is highly ill-posed in the Hadamard sense. With this in mind, we propose a natural regularization technique to overcome the difficulty. In the linear space of the Trefftz bases for solving the Laplace equation, we introduce a novel concept to construct the Trefftz energy bases used in the numerical solution for the inverse Cauchy problem of the Laplace equation in arbitrary star plane domain. The Trefftz energy bases not only satisfy the Laplace equation but also preserve the energy, whose performance is better than the original Trefftz bases. We test the new method by two numerical examples.

      PubDate: 2018-02-05T08:40:20Z
       
  • On the entropy method and exponential convergence to equilibrium for a
           recombination–drift–diffusion system with self-consistent potential
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Klemens Fellner, Michael Kniely
      We consider a Shockley–Read–Hall recombination–drift–diffusion model coupled to Poisson’s equation and subject to boundary conditions, which imply conservation of the total charge. As main result, we derive an explicit functional inequality between relative entropy and entropy production rate, which implies exponential convergence to equilibrium with explicit constant and rate. We report that the key entropy–entropy production inequality ought rather not to be formulated on the states space of the parabolic–elliptic system, but on the reduced states space of the associated nonlocal drift–diffusion problem, where the Poisson equation is replaced by the corresponding Green function.

      PubDate: 2018-02-05T08:40:20Z
       
  • Integrability aspects of some two-component KdV systems
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Deng-Shan Wang, Jiang Liu
      Some two-component Korteweg–de Vries systems are studied by prolongation technique and Painlevé analysis. Especially, the two-component KdV system conjectured to be integrable by Foursov is proved to be both Lax integrable and P-integrable. Its conservation laws are investigated based on the obtained Lax pair. Furthermore, it is shown that the three two-component Korteweg–de Vries systems are identical under certain invertible linear transformations. Finally, the auto-Bäcklund transformation and some exact solutions for the two-component Korteweg–de Vries system are derived explicitly.

      PubDate: 2018-02-05T08:40:20Z
       
  • A variant of Newton’s method based on Simpson’s three-eighths rule for
           nonlinear equations
    • Authors: Jen-Yuan Chen; David R. Kincaid; Bei-Ru Lin
      Pages: 1 - 5
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Jen-Yuan Chen, David R. Kincaid, Bei-Ru Lin
      We propose a new variant of Newton’s method based on Simpson’s three-eighth rule. It can be shown that the new method is cubically convergent.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.014
      Issue No: Vol. 79 (2017)
       
  • Lax pair, infinitely many conservation laws and solitons for a
           (2+1)-dimensional Heisenberg ferromagnetic spin chain equation with
           time-dependent coefficients
    • Authors: Zhongzhou Lan; Bo Gao
      Pages: 6 - 12
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Zhongzhou Lan, Bo Gao
      Under investigation in this paper is a ( 2 + 1 ) -dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients. Based on the symbolic computation, Lax pair and infinitely many conservation laws are constructed. Multi-soliton solutions are derived by virtue of the Darboux transformation. Propagation and interaction properties of the solitons are discussed. Amplitude of the soliton is determined by the spectral parameter and wave number, while the velocity is related to both these parameters and the time-dependent coefficients. Elastic interactions between the two solitons are displayed, and their amplitudes keep unchanged after the interaction except for the phase shifts.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.010
      Issue No: Vol. 79 (2017)
       
  • Stability of a budworm growth model with random perturbations
    • Authors: Meng Liu; Yu Zhu
      Pages: 13 - 19
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Meng Liu, Yu Zhu
      A budworm growth model perturbed by both white noises and regime switchings is proposed and analyzed. It is proven that there is a threshold. If this threshold is positive, then the model has a unique ergodic stationary distribution; if this threshold is negative, then the zero solution of the model is stable. The results show that both white noises and regime switchings can change the stability of the model greatly. Several numerical simulations based on realistic data are also introduced to illustrate the main results.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.020
      Issue No: Vol. 79 (2017)
       
  • Stability of a nonlocal delayed reaction–diffusion equation with a
           non-monotone bistable nonlinearity
    • Authors: Wenjie Hu; Yinggao Zhou
      Pages: 20 - 26
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Wenjie Hu, Yinggao Zhou
      The present work is devoted to the stability and attractivity analysis of a nonlocal delayed reaction–diffusion equation (DRDE) with a non-monotone bistable nonlinearity that describes the population dynamics for a two-stage species with Allee effect. By the idea of relating the dynamics of the nonlinear term to the DRDE and some stability results for the monostable case, we describe some basin of attractions for the DRDE. Additionally, existence of heteroclinic orbits and periodic oscillations are also obtained. Numerical simulations are also given at last to verify our theoretical results.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.018
      Issue No: Vol. 79 (2017)
       
  • Existence of ground state solutions for quasilinear Schrödinger equations
           with super-quadratic condition
    • Authors: Jianhua Chen; Xianhua Tang; Bitao Cheng
      Pages: 27 - 33
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Jianhua Chen, Xianhua Tang, Bitao Cheng
      In this paper, we study the following quasilinear Schrödinger equation − Δ u + u − Δ ( u 2 ) u = h ( u ) , x ∈ R N , where N ≥ 3 , 2 ∗ = 2 N N − 2 , h is a continuous function. By using a change of variable, we obtain the existence of ground state solutions. Unlike the condition lim u → ∞ ∫ 0 u h ( s ) d s u 4 = ∞ , we only need to assume that lim u → ∞ ∫ 0 u h ( s ) d s u 2 = ∞ .

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.007
      Issue No: Vol. 79 (2017)
       
  • Exponential ergodicity for stochastic Langevin equation with partial
           dissipative drift
    • Authors: Longjie Xie
      Pages: 34 - 42
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Longjie Xie
      By using the Krylov estimate, we prove the exponential ergodicity of the invariant measure for stochastic Langevin equation with singular coefficients, where the classical Lyapunov condition cannot be verified.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.022
      Issue No: Vol. 79 (2017)
       
  • New existence results on periodic solutions of non-autonomous second order
           Hamiltonian systems
    • Authors: Zhiyong Wang; Jihui Zhang
      Pages: 43 - 50
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Zhiyong Wang, Jihui Zhang
      In this paper, we are concerned with the existence of periodic solutions for the following non-autonomous second order Hamiltonian systems u ̈ ( t ) + ∇ F ( t , u ( t ) ) = 0 ,  a.e.  t ∈ [ 0 , T ] , u ( 0 ) − u ( T ) = u ̇ ( 0 ) − u ̇ ( T ) = 0 , where F : R × R N → R is T -periodic ( T > 0 ) in its first variable for all x ∈ R N . When potential function F ( t , x ) is either locally in t asymptotically quadratic or locally in t superquadratic, we show that the above mentioned problem possesses at least one T -periodic solutions via the minimax methods in critical point theory, specially, a new saddle point theorem which is introduced in Schechter (1998).

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.016
      Issue No: Vol. 79 (2017)
       
  • Calculating the H∞ norm of a fractional system given in state-space
           form
    • Authors: Djillali Bouagada; Samuel Melchior; Paul Van Dooren
      Pages: 51 - 57
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Djillali Bouagada, Samuel Melchior, Paul Van Dooren
      We present an efficient algorithm to compute the H ∞ norm of a fractional system. The algorithm is based on the computation of level sets of the maximum singular value of the transfer function, as a function of frequency. Numerical examples are given to illustrate the new method.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.019
      Issue No: Vol. 79 (2017)
       
  • Ultimate boundedness of impulsive fractional delay differential equations
    • Authors: Liguang Xu; Wen Liu
      Pages: 58 - 66
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Liguang Xu, Wen Liu
      This paper concerns with the ultimate boundedness problem for impulsive fractional delay differential equations. Based on the impulsive fractional differential inequality, the boundedness of Mittag-Leffler functions, and the successful construction of suitable Lyapunov functionals, some algebraic criteria are derived for testing the global ultimate boundedness of the equations, and the estimations of the global attractive sets are provided as well. One example is also given to show the effectiveness of the obtained theoretical results.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.021
      Issue No: Vol. 79 (2017)
       
  • Weak Galerkin finite element method for a class of quasilinear elliptic
           problems
    • Authors: Shi Sun; Ziping Huang; Cheng Wang
      Pages: 67 - 72
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Shi Sun, Ziping Huang, Cheng Wang
      The purpose of this paper is to study the weak Galerkin finite element method for a class of quasilinear elliptic problems. The weak Galerkin finite element scheme is proved to have a unique solution with the assumption that guarantees the corresponding operator to be strongly monotone and Lipschitz-continuous. An optimal error estimate in a mesh-dependent energy norm is established. Some numerical results are presented to confirm the theoretical analysis.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.017
      Issue No: Vol. 79 (2017)
       
  • Rotating periodic solutions for super-linear second order Hamiltonian
           systems
    • Authors: Guanggang Liu; Yong Li; Xue Yang
      Pages: 73 - 79
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Guanggang Liu, Yong Li, Xue Yang
      In this paper we consider a class of super-linear second order Hamiltonian systems. We use Morse theory to obtain the existence and multiplicity of rotating periodic solutions, which might be periodic, subharmonic or quasi-periodic ones.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.024
      Issue No: Vol. 79 (2017)
       
  • A note on crack propagation paths inside elastic bodies
    • Authors: A.M. Khludnev; V.V. Shcherbakov
      Pages: 80 - 84
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): A.M. Khludnev, V.V. Shcherbakov
      The note is concerned with a model of linear elastostatics for a two-dimensional inhomogeneous anisotropic body weakened by a single straight crack. On the crack faces, nonpenetration conditions/Signorini conditions are imposed. Relying upon a higher regularity result in Besov spaces for the displacement field in a neighborhood of the crack tip, we prove that the energy release rate is actually independent of the choice of a subsequent crack path (among the possible continuations of class H 3 ).

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.023
      Issue No: Vol. 79 (2017)
       
  • From the Vlasov–Poisson equation with strong local alignment to the
           pressureless Euler–Poisson system
    • Authors: Moon-Jin Kang
      Pages: 85 - 91
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Moon-Jin Kang
      This article provides a rigorous justification on a hydrodynamic limit from the Vlasov–Poisson system with strong local alignment to the pressureless Euler–Poisson system for repulsive dynamics.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.12.001
      Issue No: Vol. 79 (2017)
       
  • Boundary layer flow of fractional Maxwell fluid over a stretching sheet
           with variable thickness
    • Authors: Lin Liu; Fawang Liu
      Pages: 92 - 99
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Lin Liu, Fawang Liu
      A novel investigation about the boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness is presented. By introducing new variables, the irregular boundary changes as a regular one. Solutions of the governing equations are obtained numerically where the L1-scheme is applied. Dynamic characteristicswith the effects of different parameters are shown by graphical illustrations. Three kinds of distributions versus power law parameter are presented, including monotonically increasing in nearly linear form at y =1, increasing at first and then decreasing at y =1.4 and monotonically decreasing in nearly linear form at y =2.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.10.008
      Issue No: Vol. 79 (2017)
       
  • A harmonic polynomial method with a regularization strategy for the
           boundary value problems of Laplace’s equation
    • Authors: Deyue Zhang; Fenglin Sun; Linyan Lu; Yukun Guo
      Pages: 100 - 104
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Deyue Zhang, Fenglin Sun, Linyan Lu, Yukun Guo
      This paper concerns a boundary value problem of Laplace’s equation, which is solved by determining the unknown coefficients in the expansion of harmonic polynomials. A regularization method is proposed to tackle the resulting ill-posed linear system. The stability and convergence results are provided and a validating numerical experiment is presented.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.12.003
      Issue No: Vol. 79 (2017)
       
  • Conformable derivative: Application to non-Darcian flow in
           low-permeability porous media
    • Authors: Shuai Yang; Liping Wang; Shuqin Zhang
      Pages: 105 - 110
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Shuai Yang, Liping Wang, Shuqin Zhang
      The conformable derivative is used to develop the Swartzendruber model for description of non-Darcian flow in porous media. The proposed conformable Swartzendruber models are solved employing the Laplace transform method and validated on the basis of water flow in compacted fine-grained soils. The results of fitting analysis present a good agreement with experimental data. Furthermore, sensitivity analyses are carried out to illustrate the effects of related parameters on the conformable Swartzendruber models.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.12.006
      Issue No: Vol. 79 (2017)
       
  • Improving the pressure accuracy in a projection scheme for incompressible
           fluids with variable viscosity
    • Authors: J. Deteix; D. Yakoubi
      Pages: 111 - 117
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): J. Deteix, D. Yakoubi
      The incremental projection scheme and its enhanced version, the rotational projection scheme are powerful and commonly used approaches producing efficient numerical algorithms for solving the Navier–Stokes equations. However, the much improved rotational projection scheme cannot be used on models with non-homogeneous viscosity, imposing the use of the less accurate incremental projection. This paper presents a projection method for the Navier–Stokes equations for fluids having variable viscosity, giving a consistent pressure and increased accuracy in pressure when compared to the incremental projection. The accuracy of the method will be illustrated using a manufactured solution.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.12.004
      Issue No: Vol. 79 (2017)
       
  • A novel hierarchy of two-family-parameter equations: Local, nonlocal, and
           mixed-local–nonlocal vector nonlinear Schrödinger equations
    • Authors: Zhenya Yan
      Pages: 123 - 130
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Zhenya Yan
      We use two families of parameters { ( ϵ x j , ϵ t j ) ϵ x j , t j = ± 1 , j = 1 , 2 , … , n } to first introduce a unified novel hierarchy of two-family-parameter equations (simply called Q ϵ x n → , ϵ t n → ( n ) hierarchy), connecting integrable local, nonlocal, novel mixed-local–nonlocal, and other nonlocal vector nonlinear Schrödinger (VNLS) equations. The Q ϵ x n → , ϵ t n → ( n ) system with ( ϵ x j , ϵ t j ) = ( ± 1 , 1 ) , j = 1 , 2 , … , n is shown to possess Lax pairs and infinite number of conservation laws. Moreover, we also analyze the P T symmetry of the Hamiltonians with self-induced potentials. The multi-linear forms and some symmetry reductions are also studied. In fact, the used two families of parameters can also be extended to the general case { ( ϵ x j , ϵ t j ) ϵ x j = e i θ x j , ϵ t j = e i θ t j , θ x j , θ t j ∈ [ 0 , 2 π ) , j = 1 , 2 , … , n } to generate more types of nonlinear equations. The novel two-family-parameter (or multi-family-parameter for higher-dimensional cases) idea can also be applied to other local nonlinear evolution equations to find novel integrable and non-integrable nonlocal and mixed-local–nonlocal systems.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.12.007
      Issue No: Vol. 79 (2017)
       
  • On symmetric block triangular splitting iteration method for a class of
           complex symmetric system of linear equations
    • Authors: Xi-An Li; Wei-Hong Zhang; Yu-Jiang Wu
      Pages: 131 - 137
      Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Xi-An Li, Wei-Hong Zhang, Yu-Jiang Wu
      For solving a class of complex symmetric linear system, we first transform the system into a block two-by-two real formulation and construct a symmetric block triangular splitting (SBTS) iteration method based on two splittings. Then, eigenvalues of iterative matrix are calculated, convergence conditions with relaxation parameter are derived, and two optimal parameters are obtained. Besides, we present the optimal convergence factor and test two numerical examples to confirm theoretical results and to verify the high performances of SBTS iteration method compared with two classical methods.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.12.008
      Issue No: Vol. 79 (2017)
       
  • Numerical analysis for electroosmotic flow of fractional Maxwell fluids
    • Authors: Xiu Yang; Haitao Qi; Xiaoyun Jiang
      Pages: 1 - 8
      Abstract: Publication date: April 2018
      Source:Applied Mathematics Letters, Volume 78
      Author(s): Xiu Yang, Haitao Qi, Xiaoyun Jiang
      The electroosmotic flow of fractional Maxwell fluid in a rectangular microchannel is studied in this paper. By means of the fractional Maxwell constitutive equation, and based on the experimental data, the nonlinear conjugate gradient method is proposed to get the viscoelastic parameters. Combined with the continuity equations and Cauchy momentum equations, the governing equations of velocity distribution are established. Besides, a fully discrete spectral method based on a difference method in the temporal direction and a Legendre spectral method in the spatial direction is introduced to solve the dimensionless governing equations. Finally, some results are presented to show the effectiveness of the proposed method.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.10.012
      Issue No: Vol. 78 (2017)
       
  • Simple nonconforming brick element for 3D Stokes equations
    • Authors: Xinchen Zhou; Zhaoliang Meng; Xin Fan; Zhongxuan Luo
      Pages: 9 - 15
      Abstract: Publication date: April 2018
      Source:Applied Mathematics Letters, Volume 78
      Author(s): Xinchen Zhou, Zhaoliang Meng, Xin Fan, Zhongxuan Luo
      A simple nonconforming brick element is proposed for 3D Stokes equations. This element has 15 degrees of freedom and reaches the lowest approximation order. In the mixed scheme for Stokes equations, we adopt our new element to approximate the velocity, along with the discontinuous piecewise constant element for the pressure. The stability of this scheme is proved and thus the optimal convergence rate is achieved. A numerical example verifies our theoretical analysis.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.10.014
      Issue No: Vol. 78 (2017)
       
  • A linearized second-order finite difference scheme for time fractional
           generalized BBM equation
    • Authors: Pin Lyu; Seakweng Vong
      Pages: 16 - 23
      Abstract: Publication date: April 2018
      Source:Applied Mathematics Letters, Volume 78
      Author(s): Pin Lyu, Seakweng Vong
      In this paper, we consider the generalized Benjamin–Bona–Mahony (BBM) equation with a fractional order derivative in time. By introducing a weighted approach and basing on the L 2 - 1 σ formula, a linearized finite difference scheme is proposed to solve the nonlinear problem. The scheme is shown to be unconditionally convergent with second-order in time and space within maximum-norm estimate.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.10.011
      Issue No: Vol. 78 (2017)
       
  • Optimal error estimates for the pseudostress formulation of the
           Navier–Stokes equations
    • Authors: Dongho Kim; Eun-Jae Park; Boyoon Seo
      Pages: 24 - 30
      Abstract: Publication date: April 2018
      Source:Applied Mathematics Letters, Volume 78
      Author(s): Dongho Kim, Eun-Jae Park, Boyoon Seo
      In this paper, we prove optimal a priori error estimates for the pseudostress-velocity mixed finite element formulation of the incompressible Navier–Stokes equations, thus improve the result of Cai et al. (SINUM 2010). This is achieved by applying Petrov–Galerkin type Brezzi–Rappaz–Raviart theory.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.10.017
      Issue No: Vol. 78 (2017)
       
  • Global strong solutions to the 3D full compressible Navier–Stokes system
           with vacuum in a bounded domain
    • Authors: Jishan Fan; Fucai Li
      Pages: 31 - 35
      Abstract: Publication date: April 2018
      Source:Applied Mathematics Letters, Volume 78
      Author(s): Jishan Fan, Fucai Li
      In this short paper we establish the global well-posedness of strong solutions to the 3D full compressible Navier–Stokes system with vacuum in a bounded domain Ω ⊂ R 3 by the bootstrap argument provided that the viscosity coefficients λ and μ satisfy that 7 λ > 9 μ and the initial data ρ 0 and u 0 satisfy that ‖ ρ 0 ‖ L ∞ ( Ω ) and ‖ ρ 0 u 0 5 ‖ L 1 ( Ω ) are sufficiently small.

      PubDate: 2017-12-26T18:14:51Z
      DOI: 10.1016/j.aml.2017.11.001
      Issue No: Vol. 78 (2017)
       
  • Existence of the solutions of a reaction cross-diffusion model for two
           species
    • Abstract: Publication date: May 2018
      Source:Applied Mathematics Letters, Volume 79
      Author(s): Li Ma
      In this paper, we investigate a two-cooperative species model with reaction cross-diffusion under the Dirichlet boundary value condition. By applying Lyapunov–Schmidt reduction method and some important formulas, we obtain the existence of coexistence solutions under some given conditions.

      PubDate: 2017-12-26T18:14:51Z
       
  • A general Phragmén–Lindelöf principle for weak solutions of the
           Schrödinger equation and its applications
    • Authors: Lei Qiao
      Abstract: Publication date: April 2018
      Source:Applied Mathematics Letters, Volume 78
      Author(s): Lei Qiao
      In this paper, we prove a general Phragmén–Lindelöf principle for weak solutions of the Schrödinger equation in unbounded domains (open, connected sets) in R n ( n ≥ 2 ) . As applications, we shall show some similar results, including the Phragmén–Lindelöf principle for solutions of the Schrödinger equation in a cylinder, can be obtained as special cases of the general result.

      PubDate: 2017-12-26T18:14:51Z
       
 
 
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