Subjects -> MATHEMATICS (Total: 1118 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (819 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (819 journals)                  1 2 3 4 5 | 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: 3)
Accounting Perspectives     Full-text available via subscription   (Followers: 9)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 9)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
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: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 7)
Advances in Catalysis     Full-text available via subscription   (Followers: 8)
Advances in Complex Systems     Hybrid Journal   (Followers: 12)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 5)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 22)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 22)
Advances in Mathematical Physics     Open Access   (Followers: 10)
Advances in Mathematics     Full-text available via subscription   (Followers: 22)
Advances in Numerical Analysis     Open Access   (Followers: 8)
Advances in Operations Research     Open Access   (Followers: 14)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 6)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 12)
Advances in Pure Mathematics     Open Access   (Followers: 12)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 12)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 4)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 9)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 10)
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 7)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 8)
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: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 5)
Annals of Mathematics     Full-text available via subscription   (Followers: 4)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
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   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 2)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 13)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 2)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 2)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 6)
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: 4)
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: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 4)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
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: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 6)
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  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 3)
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 15)
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: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access   (Followers: 1)
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  
Cadernos do IME : Série Matemática     Open Access   (Followers: 2)
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: 23)
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: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 19)
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: 5)
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: 12)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal   (Followers: 1)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 3)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 11)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 11)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access   (Followers: 1)
Contemporary Mathematics and Statistics     Open Access   (Followers: 3)
Contributions to Discrete Mathematics     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cross Section     Full-text available via subscription   (Followers: 1)
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: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 1)
Demographic Research     Open Access   (Followers: 16)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access   (Followers: 3)

        1 2 3 4 5 | Last

Similar Journals
Journal Cover
Acta Applicandae Mathematicae
Journal Prestige (SJR): 0.675
Citation Impact (citeScore): 1
Number of Followers: 2  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0167-8019 - ISSN (Online) 1572-9036
Published by Springer-Verlag Homepage  [2654 journals]
  • On a Two-Dimensional Riemann Problem for Hyperbolic System of Nonlinear
           Conservation Laws

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      Abstract: Abstract This paper is concerned with the four-wave Riemann problem for a two-dimensional hyperbolic system of nonlinear conservation laws derived from a quasi-linear wave equation. The self-similar form of this system is of mixed type. The four-wave Riemann problem in the self-similar plane consists of interactions of four planar elementary waves (exterior waves), which contain rarefaction waves, shocks and contact discontinuities. The Riemann problem is classified into sixteen genuinely different nontrivial cases. The structures of solutions for four rarefaction waves, four shocks and two nonadjacent rarefaction waves plus two nonadjacent shocks are constructed completely. For the rest cases, the solutions are roughly analyzed. For each case, the corresponding numerical solutions are illustrated via contour plots. Comparing with the compressible Euler equations and related models, one of the highlights for this paper is that the interactions of two rarefaction waves, two shocks, as well as a rarefaction wave and a shock in hyperbolic domains are clarified.
      PubDate: 2021-10-13
       
  • Fractional Landweber Iterative Regularization Method for Identifying the
           Unknown Source of the Time-Fractional Diffusion Problem

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      Abstract: Abstract In this paper, we study an inverse problem to determine an unknown source term in the time-fractional diffusion equation with variable coefficients in a general bound domain. This problem is ill-posed, i.e., the solution (if it exists) does not depend continuously on the data. We introduce the fractional Landweber iterative regularization method to solve inverse source problem. Based on an a conditional stability result, error convergent estimates between the exact solution and the regularization solution by using an a priori regularization parameter choice rule and an a posteriori regularization parameter choice rule are also given. Some numerical experiments prove that the fractional Landweber method provides better numerical result than the classical Landweber method under the same iterative steps.
      PubDate: 2021-10-12
       
  • One Dimensional Reduction of a Renewal Equation for a Measure-Valued
           Function of Time Describing Population Dynamics

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      Abstract: Abstract Despite their relevance in mathematical biology, there are, as yet, few general results about the asymptotic behaviour of measure valued solutions of renewal equations on the basis of assumptions concerning the kernel. We characterise, via their kernels, a class of renewal equations whose measure-valued solution can be expressed in terms of the solution of a scalar renewal equation. The asymptotic behaviour of the solution of the scalar renewal equation, is studied via Feller’s classical renewal theorem and, from it, the large time behaviour of the solution of the original renewal equation is derived.
      PubDate: 2021-10-06
       
  • Stability of Wave Networks on Elastic and Viscoelastic Media

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      Abstract: Abstract In this paper, we study the component configuration issue of the line-shaped wave networks which is made of two viscoelastic components and an elastic component and the viscoelastic parts produce the infinite memory and damping and distributed delay. The structural memory of viscoelastic component results in energy dissipative and the damping memory arouses the instability, and the elastic component is energy conservation, such a hybrid effects lead to complex dynamic behaviour of network. Our purpose of the present paper is to find out stability condition of such a network, in particular, the configuration condition of the wave network under which the network is exponentially stable. At first, using a resolvent family approach, we prove the well-posed of the wave network systems under suitable assumptions on the memory kernel \(g(s)\) , the damping coefficient \(\mu _{1}\) and delay distributed kernel \(\mu _{2}(s)\) . Next, using the Lyapunov function method, we seek for a structural condition of the wave networks under which the wave networks are exponentially stable. By constructing new functions we obtain the sufficient conditions for the exponential stability of the wave networks, the structural conditions are given as inequalities.
      PubDate: 2021-10-04
       
  • Asymptotics of Weak Solution to a Chemotaxis-Navier-Stokes System with
           Superlinear Degradation

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      Abstract: Abstract This paper studies a coupled chemotaxis-Navier-Stokes model with arbitrary superlinear dampening logistic term $$\begin{aligned} \left \{ \textstyle\begin{array}{l} n_{t}+u\cdot \nabla n=\Delta n-\nabla \cdot (n\nabla c)+ rn-\mu n^{ \alpha }, \\ c_{t}+u\cdot \nabla c=\Delta c-nc, \\ u_{t}+(u\cdot \nabla )u=\Delta u+\nabla P+n\nabla \Phi , \quad \nabla \cdot u=0 \end{array}\displaystyle \right .\quad \quad (\star ) \end{aligned}$$ in a bounded domain \(\Omega \subset \mathbb{R}^{3}\) with smooth boundary, under homogeneous Neumann boundary conditions for \(n\) and \(c\) , and homogeneous Dirichlet boundary condition for \(u\) . Here \(\Phi \in C^{1+\beta }(\overline{\Omega })\) , \(r \ge 0\) , \(\mu >0\) and \(\alpha >1\) . It is shown in Wang (Math. Models Methods Appl. Sci. 30(06):1217–1252, 2020) that (⋆) possesses at least one global weak solution for \(1<\alpha < 2\) and the solution becomes sufficiently smooth after finite time if we require \(\frac{6}{5}\le \alpha < 2\) . The present work proves the eventual smoothness property holds for \(1<\alpha <2\) .
      PubDate: 2021-09-27
       
  • Correction to: Can Fluid Interaction Influence the Critical Mass for
           Taxis-Driven Blow-up in Bounded Planar Domains'

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      PubDate: 2021-09-24
       
  • Existence of Invariant Densities and Time Asymptotics of Conservative
           Linear Kinetic Equations on the Torus Without Spectral Gaps

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      Abstract: Abstract This work deals with general linear conservative neutron transport semigroups without spectral gaps in \(L^{1}(\mathcal{T}^{n}\times \mathbb{R} ^{n})\) where \(\mathcal{T}^{n}\) is the \(n\) -dimensional torus. We study the mean ergodicity of such semigroups and their strong convergence to their ergodic projections as time goes to infinity. Systematic functional analytic results are given.
      PubDate: 2021-09-17
       
  • Global Strong Solutions to Cauchy Problem of 1D Non-resistive MHD
           Equations with No Vacuum at Infinity

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      Abstract: Abstract In this paper, we study the Cauchy problem of 1D non-resistive compressible magnetohydrodynamics (MHD) equations. We established the global existence and uniqueness of strong solutions for large initial data, where the initial density and initial magnetic field approach non-zero constants at infinity, but the initial vacuum of the density inside the region can be permitted. The analysis is based on the Caffarelli-Kohn-Nirenberg weighted inequality and the technique of mathematical frequency decomposition to get the upper bound of the density, and no more artificial conditions are needed to obtain the upper bound estimate of magnetic field \(b\) .
      PubDate: 2021-09-14
       
  • Quantization of Edge Currents Along Magnetic Interfaces: A K $K$ -Theory
           Approach

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      Abstract: Abstract The purpose of this paper is to investigate the propagation of topological currents along magnetic interfaces (also known as magnetic walls) of a two-dimensional material. We consider tight-binding magnetic models associated to generic magnetic multi-interfaces and describe the \(K\) -theoretical setting in which a bulk-interface duality can be derived. Then, the (trivial) case of a localized magnetic field and the (non trivial) case of the Iwatsuka magnetic field are considered in full detail. This is a pedagogical preparatory work that aims to anticipate the study of more complicated multi-interface magnetic systems.
      PubDate: 2021-09-09
       
  • Controllability of Impulsive Fractional Integro-Differential Evolution
           Equations

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      Abstract: Abstract In this paper, we are concerned with the controllability for a class of impulsive fractional integro-differential evolution equation in a Banach space. Sufficient conditions of the existence of mild solutions and approximate controllability for the concern problem are presented by considering the term \(u'(\cdot )\) and finding a control \(v\) such that the mild solution satisfies \(u(b)=u_{b}\) and \(u'(b)=u'_{b}\) . The discussions are based on Mönch fixed point theorem as well as the theory of fractional calculus and \((\alpha ,\beta )\) -resolvent operator. Finally, an example is given to illustrate the feasibility of our results.
      PubDate: 2021-08-31
       
  • Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with
           General Nonlinear Incidence

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      Abstract: Abstract In this paper, for a class of nonlocal dispersal SIR epidemic models with nonlinear incidence, we study the existence of traveling waves connecting the disease-free equilibrium with endemic equilibrium. We obtain that the existence of traveling waves depends on the minimal wave speed \(c^{*}\) and basic reproduction number \(\mathcal{R}_{0}\) . That is, if \(\mathcal{R}_{0}>1\) and \(c> c^{*}\) then the model has a traveling wave connecting the disease-free equilibrium with endemic equilibrium. Otherwise, if \(\mathcal{R}_{0}>1\) and \(0< c< c^{*}\) , then there does not exist the traveling wave connecting the disease-free equilibrium with endemic equilibrium. The numerical simulations verify the theoretical results. Our results improve and generalize some known results.
      PubDate: 2021-08-31
       
  • Infinitely Many Solutions for Semilinear Strongly Degenerate Elliptic
           Differential Equations with Lack of Symmetry

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      Abstract: Abstract In this paper, we study the existence of multiple solutions for the boundary value problem $$\begin{aligned} -\Delta _{\gamma } u =& f(x,u) + g(\theta ,x,u) \ \text{ in }\ \ \Omega , \\ u =&\ 0 \hspace{2.6cm}\text{ on }\ \partial \Omega , \end{aligned}$$ where \(\Omega \) is a bounded domain with smooth boundary in \(\mathbb{R}^{N} \ (N \ge 2)\) , where \(f(x,\cdot )\) is odd, \(g(\theta ,x, \xi )\) is a non-symmetric, perturbative term and \(\Delta _{\gamma } \) is the strongly degenerate elliptic operator of the type $$ \Delta _{\gamma }: =\sum _{j=1}^{N}\partial _{x_{j}} \left ( \gamma _{j}^{2} \partial _{x_{j}} \right ), \quad \partial _{x_{j}}: = \frac{\partial }{\partial x_{j}},\quad \gamma : = (\gamma _{1}, \gamma _{2}, \ldots, \gamma _{N}). $$ By using a perturbation method introduced by Bolle (J. Differ. Equ. 152:274-288, 1999), we prove the existence of multiple solutions in spite of the lack of symmetry of the problem.
      PubDate: 2021-08-29
       
  • Existence of Solutions to Steady MHD System with Multiply Connected
           Boundary

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      Abstract: Abstract In this paper, we study the inhomogeneous boundary value problem for the steady MHD system of a viscous incompressible fluid in an arbitrary bounded multiply connected domain. We prove the existence of generalized solutions of the steady MHD system with some smallness conditions on the boundary values.
      PubDate: 2021-08-27
       
  • A Connection Between a Question of Bermond and Bollobás and Ramanujan
           Graphs

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      Abstract: Abstract If we let \(n(k, d)\) denote the order of the largest undirected graphs of maximum degree \(k\) and diameter \(d\) , and let \(M(k,d)\) denote the corresponding Moore bound, then \(n(k,d) \leq M(k,d)\) , for all \(k \geq 3\) , \(d \geq 2 \) . While the inequality has been proved strict for all but very few pairs \(k\) and \(d\) , the exact relation between the values \(n(k,d)\) and \(M(k,d)\) is unknown, and the uncertainty of the situation is captured by an open question of Bermond and Bollobás who asked whether it is true that for any positive integer \(c>0\) there exist a pair \(k\) and \(d\) , such that \(n(k, d)\leq M(k,d)-c\) . We present a connection of this question to the value \(2\sqrt{k-1}\) , which is also essential in the definition of the Ramanujan graphs defined as \(k\) -regular graphs whose second largest eigenvalue (in modulus) does not exceed \(2 \sqrt{k-1}\) . We further reinforce this surprising connection by showing that if the answer to the question of Bermond and Bollobás were negative and there existed a \(c > 0\) such that \(n(k,d) \geq M(k,d) - c \) , for all \(k \geq 3\) , \(d \geq 2 \) , then, for any fixed \(k\) and all sufficiently large even \(d\) ’s, the largest undirected graphs of degree \(k\) and diameter \(d\) would have to be Ramanujan graphs. This would imply a positive answer to the open question whether infinitely many non-bipartite \(k\) -regular Ramanujan graphs exist for any degree \(k\) .
      PubDate: 2021-08-24
       
  • Influence of Flux Limitation on Large Time Behavior in a Three-Dimensional
           Chemotaxis-Stokes System Modeling Coral Fertilization

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      Abstract: Abstract In this paper, we consider the following system $$ \left \{ \textstyle\begin{array}{ll} n_{t}+u\cdot \nabla n&=\Delta n-\nabla \cdot (n\mathcal{S}( \nabla c ^{2}) \nabla c)-nm, \\ c_{t}+u\cdot \nabla c&=\Delta c-c+m, \\ m_{t}+u\cdot \nabla m&=\Delta m-mn, \\ u_{t}&=\Delta u+\nabla P+(n+m)\nabla \Phi ,\qquad \nabla \cdot u=0 \end{array}\displaystyle \right . $$ which models the process of coral fertilization, in a smoothly three-dimensional bounded domain, where \(\mathcal{S}\) is a given function fulfilling $$ \mathcal{S}(\sigma ) \leq K_{\mathcal{S}}(1+\sigma )^{- \frac{\theta }{2}},\qquad \sigma \geq 0 $$ with some \(K_{\mathcal{S}}>0\) . Based on conditional estimates of the quantity \(c\) and the gradients thereof, a relatively compressed argument as compared to that proceeding in related precedents shows that if $$ \theta >0, $$ then for any initial data with proper regularity an associated initial-boundary problem under no-flux/no-flux/no-flux/Dirichlet boundary conditions admits a unique classical solution which is globally bounded, and which also enjoys the stabilization features in the sense that $$\begin{aligned} &\ n(\cdot ,t)-n_{\infty }\ _{L^{\infty }(\Omega )}+\ c(\cdot ,t)-m_{ \infty }\ _{W^{1,\infty }(\Omega )} +\ m(\cdot ,t)-m_{\infty }\ _{W^{1, \infty }(\Omega )}\\ &\quad{}+\ u(\cdot ,t)\ _{L^{\infty }(\Omega )}\rightarrow 0 \quad \text{as}~t\rightarrow \infty \end{aligned}$$ with \(n_{\infty }:=\frac{1}{ \Omega }\left \{ \int _{\Omega }n_{0}-\int _{ \Omega }m_{0}\right \} _{+}\) and \(m_{\infty }:=\frac{1}{ \Omega }\left \{ \int _{\Omega }m_{0}-\int _{ \Omega }n_{0}\right \} _{+}\) .
      PubDate: 2021-08-06
       
  • Exponential Stability in Mean Square of Stochastic Functional Differential
           Equations with Infinite Delay

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      Abstract: Abstract A novel approach to the exponential stability in mean square of stochastic functional differential equations and neutral stochastic functional differential equations with infinite delay is presented. Consequently, some new criteria for the exponential stability in mean square of the considered equations are obtained. Lastly, some examples are investigated to illustrate the theory.
      PubDate: 2021-07-29
       
  • On the Classification of Solutions to a Weighted Elliptic System Involving
           the Grushin Operator

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      Abstract: Abstract We investigate here the following weighted degenerate elliptic system $$\begin{aligned} &-\Delta _{s} u =\Big(1+\ \mathbf{x}\ ^{2(s+1)}\Big)^{ \frac{\alpha }{2(s+1)}} v^{p}, \quad -\Delta _{s} v= \Big(1+\ \mathbf{x}\ ^{2(s+1)}\Big)^{\frac{\alpha }{2(s+1)}}u^{\theta }, \\ &\quad u,v>0 \quad \mbox{in }\; \mathbb{R}^{N}:=\mathbb{R}^{N_{1}}\times \mathbb{R}^{N_{2}}, \end{aligned}$$ where \(\Delta _{s}=\Delta _{x}+ x ^{2s}\Delta _{y}\) , is the Grushin operator, \(s\) , \(\alpha \geq 0\) and \(1< p\leq \theta \) . Here $$ \ \mathbf{x}\ =\Big( x ^{2(s+1)}+ y ^{2}\Big)^{\frac{1}{2(s+1)}} \; \mbox{and}\quad \mathbf{x}:=(x, y)\in \mathbb{R}^{N}:=\mathbb{R}^{N_{1}} \times \mathbb{R}^{N_{2}}. $$ In particular, we establish some new Liouville-type theorems for stable solutions of the system, which recover and considerably improve upon the known results (Duong and Phan in J. Math. Anal. Appl. 454(2):785–801, 2017; Hajlaoui et al. in Discrete Contin. Dyn. Syst. 37:265–279, 2017).
      PubDate: 2021-07-29
       
  • Asymptotic Expansions and Strategies in the Online Increasing Subsequence
           Problem

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      Abstract: Abstract We study two closely related problems in the online selection of increasing subsequence. In the first problem, introduced by Samuels and Steele (Ann. Probab. 9(6):937–947, 1981), the objective is to maximise the length of a subsequence selected by a nonanticipating strategy from a random sample of given size \(n\) . In the dual problem, recently studied by Arlotto et al. (Random Struct. Algorithms 49:235–252, 2016), the objective is to minimise the expected time needed to choose an increasing subsequence of given length \(k\) from a sequence of infinite length. Developing a method based on the monotonicity of the dynamic programming equation, we derive the two-term asymptotic expansions for the optimal values, with \(O(1)\) remainder in the first problem and \(O(k)\) in the second. Settling a conjecture in Arlotto et al. (Random Struct. Algorithms 52:41–53, 2018), we also design selection strategies to achieve optimality within these bounds, that are, in a sense, best possible.
      PubDate: 2021-07-26
       
  • Particle Dynamics with Elastic Collision at the Boundary: Existence and
           Partial Uniqueness of Solutions

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      Abstract: Abstract We consider the dynamics of point particles which are confined to a bounded, possibly nonconvex domain \(\Omega \) . Collisions with the boundary are described as purely elastic collisions. This turns the description of the particle dynamics into a coupled system of second order ODEs with discontinuous right-hand side. The main contribution of this paper is to develop a precise solution concept for this particle system, and to prove existence of solutions. In this proof we construct a solution by passing to the limit in an auxiliary problem based on the Yosida approximation. In addition to existence of solutions, we establish a partial uniqueness theorem, and show by means of a counterexample that uniqueness of solutions cannot hold in general.
      PubDate: 2021-07-26
       
  • Behavior of Riemann Solutions of Extended Chaplygin Gas Under the Limiting
           Condition

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      Abstract: Abstract For this paper, we first obtain the Riemann solutions for the one-dimensional non-isentropic Euler equations of extended Chaplygin gas. The solutions are composed of shock waves, contact discontinuity and rarefaction waves. Furthermore, the behavior of these solutions under the limiting conditions are considered. As a certain parameter tends to zero, we find that the Riemann solutions of the one-dimensional non-isentropic Euler equations for extended Chaplygin gas can be transformed into the solutions of the generalized Chaplygin gas unidirectional. Finally, we are done to verify that the theoretical analysis is accurate by using numerical simulation.
      PubDate: 2021-07-22
       
 
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