Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)

MATHEMATICS (714 journals)            First | 1 2 3 4     

Showing 401 - 538 of 538 Journals sorted by number of followers
Journal for Research in Mathematics Education     Full-text available via subscription   (Followers: 31)
Annals of Data Science     Hybrid Journal   (Followers: 18)
Mathematics Education Research Journal     Partially Free   (Followers: 16)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 13)
International Journal of Theoretical and Mathematical Physics     Open Access   (Followers: 13)
Teaching Mathematics     Full-text available via subscription   (Followers: 10)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 9)
Mathematics Teacher: Learning and Teaching PK-12     Full-text available via subscription   (Followers: 9)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 9)
Mathematics Teaching in the Middle School     Full-text available via subscription   (Followers: 8)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 7)
Royal Society Open Science     Open Access   (Followers: 7)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 7)
Annuaire du Collège de France     Open Access   (Followers: 6)
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 6)
Applied Mathematics     Open Access   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 6)
REDIMAT : Journal of Research in Mathematics Education     Open Access   (Followers: 6)
Journal of Optimization     Open Access   (Followers: 6)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
European Scientific Journal     Open Access   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 5)
Abakós     Open Access   (Followers: 4)
Proceedings of the American Mathematical Society, Series B     Open Access   (Followers: 4)
International Journal of Mathematical Modelling & Computations     Open Access   (Followers: 4)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 4)
International Journal of Algebra and Statistics     Open Access   (Followers: 4)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
Modelling in Civil and Environmental Engineering     Open Access   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Applied Network Science     Open Access   (Followers: 3)
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 3)
Game Theory     Open Access   (Followers: 3)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 3)
International Journal of Partial Differential Equations     Open Access   (Followers: 3)
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Open Journal of Modelling and Simulation     Open Access   (Followers: 2)
Iranian Journal of Optimization     Open Access   (Followers: 2)
Quantum Studies : Mathematics and Foundations     Hybrid Journal   (Followers: 2)
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Synthesis Lectures on Algorithms and Software in Engineering     Full-text available via subscription   (Followers: 2)
Journal of mathematical and computational science     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Unnes Journal of Mathematics Education     Open Access   (Followers: 2)
Mathematics and Statistics     Open Access   (Followers: 2)
Stochastic Partial Differential Equations : Analysis and Computations     Hybrid Journal   (Followers: 2)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Algorithms Research     Open Access   (Followers: 2)
International Journal of Fuzzy Computation and Modelling     Hybrid Journal   (Followers: 2)
International Journal of Modern Nonlinear Theory and Application     Open Access   (Followers: 2)
American Journal of Mathematical Analysis     Open Access   (Followers: 1)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Press Start     Open Access   (Followers: 1)
Transactions of the London Mathematical Society     Open Access   (Followers: 1)
Research in Number Theory     Hybrid Journal   (Followers: 1)
International Journal of Advanced Research in Mathematics     Open Access   (Followers: 1)
Electronic Journal of Differential Equations     Open Access   (Followers: 1)
Journal of Numerical Cognition     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal   (Followers: 1)
GSTF Journal of Mathematics, Statistics and Operations Research     Open Access   (Followers: 1)
Unnes Journal of Mathematics Education Research     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access   (Followers: 1)
Complex Analysis and its Synergies     Open Access   (Followers: 1)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
Discrete Mathematics & Theoretical Computer Science     Open Access   (Followers: 1)
Revista de Matemática : Teoría y Aplicaciones     Open Access   (Followers: 1)
The Mathematical Gazette     Full-text available via subscription   (Followers: 1)
MSOR Connections     Open Access   (Followers: 1)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal   (Followers: 1)
Journal of Advanced Mathematics and Applications     Full-text available via subscription   (Followers: 1)
Journal of Progressive Research in Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Unnes Journal of Mathematics     Open Access   (Followers: 1)
Synthesis Lectures on Mathematics and Statistics     Full-text available via subscription   (Followers: 1)
Mathematica Scandinavica     Full-text available via subscription   (Followers: 1)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Arabian Journal of Mathematics     Open Access   (Followers: 1)
CAUCHY     Open Access   (Followers: 1)
Journal of Complex Networks     Hybrid Journal   (Followers: 1)
Journal of Complex Analysis     Open Access   (Followers: 1)
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Forum of Mathematics, Pi     Open Access   (Followers: 1)
Forum of Mathematics, Sigma     Open Access   (Followers: 1)
VFAST Transactions on Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
International Journal of Applied Mathematical Research     Open Access   (Followers: 1)
Research Journal of Pure Algebra     Open Access   (Followers: 1)
Axioms     Open Access   (Followers: 1)
Sciences & Technologie A : sciences exactes     Open Access  
Revista Digital: Matemática, Educación e Internet     Open Access  
Revista Internacional de Sistemas     Open Access  
Revista SIGMA     Open Access  
Revista Integración : Temas de Matemáticas     Open Access  
Armenian Journal of Mathematics     Open Access  
Journal of Integrable Systems     Open Access  
Fractal and Fractional     Open Access  
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Problemy Peredachi Informatsii     Full-text available via subscription  
Differentsial'nye Uravneniya     Open Access  
Doklady Akademii Nauk     Open Access  
Funktsional'nyi Analiz i ego Prilozheniya     Full-text available via subscription  
Matematicheskie Zametki     Full-text available via subscription  
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya     Full-text available via subscription  
Diskretnaya Matematika     Full-text available via subscription  
Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki     Open Access  
Communications in Combinatorics and Optimization     Open Access  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Revista REAMEC : Rede Amazônica de Educação em Ciências e Matemática     Open Access  
Eco Matemático     Open Access  
PNA. Revista de Investigación en Didáctica de la Matemática     Open Access  
Indonesian Journal of Combinatorics     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
JMPM : Jurnal Matematika dan Pendidikan Matematika     Open Access  
Researches in Mathematics     Open Access  
Limits : Journal of Mathematics and Its Applications     Open Access  
JIPM (Jurnal Ilmiah Pendidikan Matematika)     Open Access  
Jurnal Natural     Open Access  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
The Mathematica journal     Open Access  
InfoTekJar : Jurnal Nasional Informatika dan Teknologi Jaringan     Open Access  
Uniform Distribution Theory     Open Access  
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Archive of Numerical Software     Open Access  
Journal of the Indian Mathematical Society     Hybrid Journal  
International Journal of Computational Complexity and Intelligent Algorithms     Hybrid Journal  
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Annales Mathematicae Silesianae     Open Access  
Recreational Mathematics Magazine     Open Access  
International Journal of Pure Mathematical Sciences     Open Access  
Revista de Educación Matemática     Open Access  
Revista BoEM - Boletim online de Educação Matemática     Open Access  
Topological Methods in Nonlinear Analysis     Full-text available via subscription  
North Carolina Journal of Mathematics and Statistics     Open Access  
Moroccan Journal of Pure and Applied Analysis     Open Access  
Jurnal Matematika     Open Access  
International Journal of Mathematical Sciences and Computing     Open Access  
Journal of Function Spaces     Open Access  
Sahand Communications in Mathematical Analysis     Open Access  
Pure Mathematics and Applications     Open Access  
Journal of the Nigerian Mathematical Society     Open Access  
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access  
Opuscula Mathematica     Open Access  
Lettera Matematica     Hybrid Journal  
International Journal of Applied and Computational Mathematics     Hybrid Journal  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
ITM Web of Conferences     Open Access  
Turkish Journal of Mathematics     Open Access  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription  
Research in the Mathematical Sciences     Open Access  
Note di Matematica     Open Access  
Ithaca : Viaggio nella Scienza     Open Access  
ORiON     Open Access  
Journal of Scientific Research     Open Access  
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Global Journal of Mathematical Sciences     Full-text available via subscription  
Jurnal Penelitian Sains (JPS)     Open Access  
Journal of Mathematical and Fundamental Sciences     Open Access  
Boletim de Educação Matemática     Open Access  
Uniciencia     Open Access  
MATICS     Open Access  
Chinese Journal of Mathematics     Open Access  
Carpathian Mathematical Publications     Open Access  
Journal of the Egyptian Mathematical Society     Open Access  
Tatra Mountains Mathematical Publications     Open Access  
Dhaka University Journal of Science     Open Access  
International Journal of Advanced Mathematical Sciences     Open Access  
Journal of Global Research in Mathematical Archives     Open Access  
Sigmae     Open Access  
Journal of Modern Mathematics Frontier     Open Access  
International Journal of Mathematics & Computation     Full-text available via subscription  
Journal of Mathematics     Open Access  
Computational Methods and Function Theory     Hybrid Journal  
SeMA Journal     Hybrid Journal  
Vietnam Journal of Mathematics     Hybrid Journal  
Acta Mathematica Vietnamica     Hybrid Journal  
International Journal of Applied Nonlinear Science     Hybrid Journal  
Advances in Fixed Point Theory     Open Access  
Information and Inference     Free  
Tamkang Journal of Mathematics     Open Access  
Le Matematiche     Open Access  
Journal of Mathematics Research     Open Access  
GANIT : Journal of Bangladesh Mathematical Society     Open Access  
Journal of Experimental Algorithmics     Full-text available via subscription  
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas     Partially Free  
BIBECHANA     Open Access  
InfraMatics     Open Access  
Mathematical Sciences     Open Access  
Journal of Homotopy and Related Structures     Hybrid Journal  
PAMM : Proceedings in Applied Mathematics and Mechanics     Free  

  First | 1 2 3 4     

Similar Journals
Journal Cover
International Journal of Partial Differential Equations
Number of Followers: 3  

  This is an Open Access Journal Open Access journal
ISSN (Online) 2314-6524
Published by Hindawi Homepage  [339 journals]
  • Development of a Nonlinear Model Incorporating Strain and Rotation
           Parameters for Prediction of Complex Turbulent Flows

    • Abstract: The standard model has the deficiency of predicting swirling and vortical flows due to its isotropic assumption of eddy viscosity. In this study, a second-order nonlinear model is developed incorporating some new functions for the model coefficients to explore the models applicability to complex turbulent flows. Considering the realizability principle, the coefficient of eddy viscosity () is derived as a function of strain and rotation parameters. The coefficients of nonlinear quadratic term are estimated considering the anisotropy of turbulence in a simple shear layer. Analytical solutions for the fundamental properties of swirl jet are derived based on the nonlinear model, and the values of model constants are determined by tuning their values for the best-fitted comparison with the experiments. The model performance is examined for two test cases: (i) for an ideal vortex (Stuart vortex), the basic equations are solved numerically to predict the turbulent structures at the vortex center and the (ii) unsteady 3D simulation is carried out to calculate the flow field of a compound channel. It is observed that the proposed nonlinear model can successfully predict the turbulent structures at vortex center, while the standard model fails. The model is found to be capable of accounting the effect of transverse momentum transfer in the compound channel through generating the horizontal vortices at the interface.
      PubDate: Thu, 19 Feb 2015 09:47:11 +000
  • Weighted Pluricomplex Energy II

    • Abstract: We continue our study of the complex Monge-Ampère operator on the weighted pluricomplex energy classes. We give more characterizations of the range of the classes by the complex Monge-Ampère operator. In particular, we prove that a nonnegative Borel measure is the Monge-Ampère of a unique function if and only if . Then we show that if for some then for some , where is given boundary data. If moreover the nonnegative Borel measure is suitably dominated by the Monge-Ampère capacity, we establish a priori estimates on the capacity of sublevel sets of the solutions. As a consequence, we give a priori bounds of the solution of the Dirichlet problem in the case when the measure has a density in some Orlicz space.
      PubDate: Tue, 10 Feb 2015 09:42:02 +000
  • Direct and Inverse Scattering Problems for Domains with Multiple Corners

    • Abstract: We proposed numerical methods for solving the direct and inversescattering problems for domains with multiple corners. Both the nearfield and far field cases are considered. For the forward problem, thechallenges of logarithmic singularity from Green’s functions and cornersingularity are both taken care of. For the inverse problem, an efficientand robust direct imaging method is proposed. Multiple frequency dataare combined to capture details while not losing robustness.
      PubDate: Mon, 26 Jan 2015 13:46:02 +000
  • Existence of Solutions for a Class of Quasilinear Parabolic Equations with
           Superlinear Nonlinearities

    • Abstract: Working in a weighted Sobolev space, this paper is devoted to the study of the boundary value problem for the quasilinear parabolic equations with superlinear growth conditions in a domain of . Some conditions which guarantee the solvability of the problem are given.
      PubDate: Sun, 21 Dec 2014 08:43:56 +000
  • A New Method for Inextensible Flows of Timelike Curves in Minkowski

    • Abstract: We construct a new method for inextensible flows of timelike curves in Minkowski space-time . Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for curvatures of a timelike curve in Minkowski space-time .
      PubDate: Tue, 16 Dec 2014 13:43:41 +000
  • Conservation Laws for a Degasperis Procesi Equation and a Coupled
           Variable-Coefficient Modified Korteweg-de Vries System in a Two-Layer
           Fluid Model via the Multiplier Approach

    • Abstract: We employ the multiplier approach (variational derivative method) to derive the conservation laws for the Degasperis Procesi equation and a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Firstly, the multipliers are computed and then conserved vectors are obtained for each multiplier.
      PubDate: Thu, 13 Nov 2014 07:49:11 +000
  • Improvement of the Modified Decomposition Method for Handling Third-Order
           Singular Nonlinear Partial Differential Equations with Applications in

    • Abstract: The modified decomposition method (MDM) is improved by introducing new inverse differential operators to adapt the MDM for handling third-order singular nonlinear partial differential equations (PDEs) arising in physics and mechanics. A few case-study singular nonlinear initial-value problems (IVPs) of third-order PDEs are presented and solved by the improved modified decomposition method (IMDM). The solutions are compared with the existing exact analytical solutions. The comparisons show that the IMDM is effectively capable of obtaining the exact solutions of the third-order singular nonlinear IVPs.
      PubDate: Thu, 06 Nov 2014 00:00:00 +000
  • MHD Equations with Regularity in One Direction

    • Abstract: We consider the 3D MHD equations and prove that if one directional derivative of the fluid velocity, say, , with , , then the solution is in fact smooth.  This improves previous results greatly.
      PubDate: Mon, 27 Oct 2014 00:00:00 +000
  • Spectral Bounds for Polydiagonal Jacobi Matrix Operators

    • Abstract: The research on spectral inequalities for discrete Schrödinger operators has proved fruitful in the last decade. Indeed, several authors analysed the operator’s canonical relation to a tridiagonal Jacobi matrix operator. In this paper, we consider a generalisation of this relation with regard to connecting higher order Schrödinger-type operators with symmetric matrix operators with arbitrarily many nonzero diagonals above and below the main diagonal. We thus obtain spectral bounds for such matrices, similar in nature to the Lieb-Thirring inequalities.
      PubDate: Sun, 19 Oct 2014 11:42:05 +000
  • On Construction of Solutions of Evolutionary Nonlinear Schrödinger

    • Abstract: In this work we present an application of a theory of vessels to a solution of the evolutionary nonlinear Schrödinger (NLS) equation. The classes of functions for which the initial value problem is solvable rely on the existence of an analogue of the inverse scattering theory for the usual NLS equation. This approach is similar to the classical approach of Zakharov-Shabath for solving evolutionary NLS equation but has an advantage of simpler formulas and new techniques and notions to understand the solutions.
      PubDate: Tue, 07 Oct 2014 00:00:00 +000
  • Existence of Solution and Approximate Controllability for Neutral
           Differential Equation with State Dependent Delay

    • Abstract: This paper is divided in two parts. In the first part we study a second order neutral partial differential equation with state dependent delay and noninstantaneous impulses. The conditions for existence and uniqueness of the mild solution are investigated via Hausdorff measure of noncompactness and Darbo Sadovskii fixed point theorem. Thus we remove the need to assume the compactness assumption on the associated family of operators. The conditions for approximate controllability are investigated for the neutral second order system with respect to the approximate controllability of the corresponding linear system in a Hilbert space. A simple range condition is used to prove approximate controllability. Thereby, we remove the need to assume the invertibility of a controllability operator used by authors in (Balachandran and Park, 2003), which fails to exist in infinite dimensional spaces if the associated semigroup is compact. Our approach also removes the need to check the invertibility of the controllability Gramian operator and associated limit condition used by the authors in (Dauer and Mahmudov, 2002), which are practically difficult to verify and apply. Examples are provided to illustrate the presented theory.
      PubDate: Thu, 02 Oct 2014 13:22:58 +000
  • Numerical Solution of Nonlinear Sine-Gordon Equation by Modified Cubic
           B-Spline Collocation Method

    • Abstract: Modified cubic B-spline collocation method is discussed for the numerical solution of one-dimensional nonlinear sine-Gordon equation. The method is based on collocation of modified cubic B-splines over finite elements, so we have continuity of the dependent variable and its first two derivatives throughout the solution range. The given equation is decomposed into a system of equations and modified cubic B-spline basis functions have been used for spatial variable and its derivatives, which gives results in amenable system of ordinary differential equations. The resulting system of equation has subsequently been solved by SSP-RK54 scheme. The efficacy of the proposed approach has been confirmed with numerical experiments, which shows that the results obtained are acceptable and are in good agreement with earlier studies.
      PubDate: Sun, 10 Aug 2014 06:23:46 +000
  • Numerical Solutions of Two-Way Propagation of Nonlinear Dispersive Waves
           Using Radial Basis Functions

    • Abstract: We obtain the numerical solution of a Boussinesq system fortwo-way propagation of nonlinear dispersive waves by using the meshlessmethod, based on collocation with radial basis functions. The system ofnonlinear partial differential equation is discretized in space by approximatingthe solution using radial basis functions. The discretization leads to asystem of coupled nonlinear ordinary differential equations. The equationsare then solved by using the fourth-order Runge-Kutta method. A stabilityanalysis is provided and then the accuracy of method is tested by comparingit with the exact solitary solutions of the Boussinesq system. In addition, theconserved quantities are calculated numerically and compared to an exactsolution. The numerical results show excellent agreement with the analyticalsolution and the calculated conserved quantities.
      PubDate: Sun, 03 Aug 2014 08:28:41 +000
  • An Efficient Method for Time-Fractional Coupled Schrödinger System

    • Abstract: We present a new technique to obtain the solution of time-fractional coupled Schrödinger system. The fractional derivatives are considered in Caputo sense. The proposed scheme is based on Laplace transform and new homotopy perturbation method. To illustrate the power and reliability of the method some examples are provided. The results obtained by the proposed method show that the approach is very efficient and simple and can be applied to other partial differential equations.
      PubDate: Tue, 15 Jul 2014 00:00:00 +000
  • Variational Statement and Domain Decomposition Algorithms for
           Bitsadze-Samarskii Nonlocal Boundary Value Problem for Poisson’s
           Two-Dimensional Equation

    • Abstract: The Bitsadze-Samarskii nonlocal boundary value problem is considered. Variational formulation is done. The domain decomposition and Schwarz-type iterative methods are used. The parallel algorithm as well as sequential ones is investigated.
      PubDate: Thu, 19 Jun 2014 13:33:37 +000
  • Existence of the Mild Solution for Impulsive Semilinear Differential

    • Abstract: We study the existence of solutions of impulsive semilinear differential equation in a Banach space in which impulsive condition is not instantaneous. We establish the existence of a mild solution by using the Hausdorff measure of noncompactness and a fixed point theorem for the convex power condensing operator.
      PubDate: Sun, 18 May 2014 11:11:20 +000
  • General Asymptotic Supnorm Estimates for Solutions of One-Dimensional
           Advection-Diffusion Equations in Heterogeneous Media

    • Abstract: We derive general bounds for the large time size of supnorm values of solutions to one-dimensional advection-diffusion equations with initial data for some and arbitrary bounded advection speeds , introducing new techniques based on suitable energy arguments. Some open problems and related results are also given.
      PubDate: Thu, 08 May 2014 11:18:52 +000
  • Explicit Estimates for Solutions of Mixed Elliptic Problems

    • Abstract: We deal with the existence of quantitative estimates for solutions of mixed problems to an elliptic second-order equation in divergence form with discontinuous coefficients. Our concern is to estimate the solutions with explicit constants, for domains in () of class . The existence of and estimates is assured for and any (depending on the data), whenever the coefficient is only measurable and bounded. The proof method of the quantitative estimates is based on the De Giorgi technique developed by Stampacchia. By using the potential theory, we derive estimates for different ranges of the exponent depending on the fact that the coefficient is either Dini-continuous or only measurable and bounded. In this process, we establish new existences of Green functions on such domains. The last but not least concern is to unify (whenever possible) the proofs of the estimates to the extreme Dirichlet and Neumann cases of the mixed problem.
      PubDate: Mon, 31 Mar 2014 11:15:41 +000
  • A Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions

    • Abstract: We consider initial boundary value problem for a reaction-diffusion system with nonlinear and nonlocal boundary conditions and nonnegative initial data. We prove local existence, uniqueness, and nonuniqueness of solutions.
      PubDate: Thu, 20 Feb 2014 07:02:08 +000
  • A Note on the Painlevé Property of Coupled KdV Equations

    • Abstract: We prove that one system of coupled KdV equations, claimed by Hirota et al. to pass the Painlevé test for integrability, actually fails the test at the highest resonance of the generic branch and therefore must be nonintegrable.
      PubDate: Wed, 19 Feb 2014 11:23:52 +000
  • Partial Differential Equations of an Epidemic Model with Spatial Diffusion

    • Abstract: The aim of this paper is to study the dynamics of a reaction-diffusion SIR epidemic model with specific nonlinear incidence rate. The global existence, positivity, and boundedness of solutions for a reaction-diffusion system with homogeneous Neumann boundary conditions are proved. The local stability of the disease-free equilibrium and endemic equilibrium is obtained via characteristic equations. By means of Lyapunov functional, the global stability of both equilibria is investigated. More precisely, our results show that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number is less than or equal to unity, which leads to the eradication of disease from population. When the basic reproduction number is greater than unity, then disease-free equilibrium becomes unstable and the endemic equilibrium is globally asymptotically stable; in this case the disease persists in the population. Numerical simulations are presented to illustrate our theoreticalresults.
      PubDate: Mon, 10 Feb 2014 09:59:55 +000
  • Semilinear Evolution Problems with Ventcel-Type Conditions on Fractal

    • Abstract: A semilinear parabolic transmission problem with Ventcel's boundary conditions on a fractal interface or the corresponding prefractal interface is studied. Regularity results for the solution in both cases are proved. The asymptotic behaviour of the solutions of the approximating problems to the solution of limit fractal problem is analyzed.
      PubDate: Wed, 22 Jan 2014 08:09:38 +000
  • Modified Method of Characteristics Combined with Finite Volume Element

    • Abstract: The incompressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations, the pressure-velocity equation and the concentration equation. In this paper, we present a mixed finite volume element method (FVEM) for the approximation of thepressure-velocity equation. Since modified method of characteristics (MMOC) minimizes the grid orientation effect, for the approximation of the concentration equation, we apply a standard FVEM combined with MMOC. A priori error estimates in norm are derived for velocity, pressure and concentration. Numerical results are presented to substantiate the validity of the theoretical results.
      PubDate: Sun, 19 Jan 2014 00:00:00 +000
  • On the Local Well-Posedness of the Cauchy Problem for a Modified
           Two-Component Camassa-Holm System in Besov Spaces

    • Abstract: We consider the Cauchy problem for an integrable modified two-component Camassa-Holm system with cubic nonlinearity. By using the Littlewood-Paley decomposition, nonhomogeneous Besov spaces, and a priori estimates for linear transport equation, we prove that the Cauchy problem is locally well-posed in Besov spaces with , and .
      PubDate: Tue, 31 Dec 2013 17:48:27 +000
  • Existence and Uniqueness of the Solutions for Some Initial-Boundary Value
           Problems with the Fractional Dynamic Boundary Condition

    • Abstract: In this paper, we analyze some initial-boundary value problems forthe subdiffusion equation with a fractional dynamic boundary condition in aone-dimensional bounded domain. First, we establish the unique solvabilityin the Hölder space of the initial-boundary value problems for the equation , , where L is a uniformly ellipticoperator with smooth coefficients with the fractional dynamic boundary condition. Second, we apply the contraction theorem to prove the existence anduniqueness locally in time in the Hölder classes of the solution to the corresponding nonlinear problems.
      PubDate: Thu, 07 Nov 2013 09:00:04 +000
  • Approximate Controllability of a Semilinear Heat Equation

    • Abstract: We apply Rothe’s type fixed point theorem to prove the interior approximate controllability of the following semilinear heat equation: in on , where is a bounded domain in , , is an open nonempty subset of , denotes the characteristic function of the set , the distributed control belongs to , and the nonlinear function is smooth enough, and there are , and such that for all Under this condition, we prove the following statement: for all open nonempty subset of , the system is approximately controllable on . Moreover, we could exhibit a sequence of controls steering the nonlinear system from an initial state to an neighborhood of the final state at time .
      PubDate: Sun, 03 Nov 2013 14:56:58 +000
  • Solutions of Nonlocal -Laplacian Equations

    • Abstract: In view of variational approach we discuss a nonlocal problem, that is, a Kirchhoff-type equation involving -Laplace operator. Establishing some suitable conditions, we prove the existence and multiplicity of solutions.
      PubDate: Thu, 10 Oct 2013 15:55:46 +000
  • Single Peak Solitons for the Boussinesq-Like Equation

    • Abstract: The nonlinear dispersive Boussinesq-like equation , which exhibits single peak solitons, is investigated. Peakons, cuspons and smooth soliton solutions are obtained by setting the equation under inhomogeneous boundary condition. Asymptotic behavior and numerical simulations are provided for these three types of single peak soliton solutions of the equation.
      PubDate: Wed, 09 Oct 2013 12:00:32 +000
  • A Posteriori Regularization Parameter Choice Rule for Truncation Method
           for Identifying the Unknown Source of the Poisson Equation

    • Abstract: We consider the problem of determining an unknown source which depends only on one variable in two-dimensional Poisson equation. We prove a conditional stability for this problem. Moreover, we propose a truncation regularization method combined with an a posteriori regularization parameter choice rule to deal with this problem and give the corresponding convergence estimate. Numerical results are presented to illustrate the accuracy and efficiency of this method.
      PubDate: Thu, 19 Sep 2013 10:53:25 +000
  • Boundary Value Problems for the Classical and Mixed Integrodifferential
           Equations with Riemann-Liouville Operators

    • Abstract: By method of integral equations, unique solvability is proved for the solution of boundary value problems of loaded third-order integrodifferential equations with Riemann-Liouville operators.
      PubDate: Sun, 08 Sep 2013 08:54:18 +000
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