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)    - PROBABILITIES AND MATH STATISTICS (113 journals) MATHEMATICS (714 journals)            First | 1 2 3 4
 Showing 601 - 538 of 538 Journals sorted alphabetically Results in Mathematics Results in Nonlinear Analysis Review of Symbolic Logic       (Followers: 2) Reviews in Mathematical Physics       (Followers: 1) Revista Baiana de Educação Matemática Revista Bases de la Ciencia Revista BoEM - Boletim online de Educação Matemática Revista Colombiana de Matemáticas       (Followers: 1) Revista de Ciencias Revista de Educación Matemática Revista de la Escuela de Perfeccionamiento en Investigación Operativa Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Revista de Matemática : Teoría y Aplicaciones       (Followers: 1) Revista Digital: Matemática, Educación e Internet Revista Electrónica de Conocimientos, Saberes y Prácticas Revista Integración : Temas de Matemáticas Revista Internacional de Sistemas Revista Latinoamericana de Etnomatemática Revista Latinoamericana de Investigación en Matemática Educativa Revista Matemática Complutense Revista REAMEC : Rede Amazônica de Educação em Ciências e Matemática Revista SIGMA Ricerche di Matematica RMS : Research in Mathematics & Statistics Royal Society Open Science       (Followers: 7) Russian Journal of Mathematical Physics Russian Mathematics Sahand Communications in Mathematical Analysis Sampling Theory, Signal Processing, and Data Analysis São Paulo Journal of Mathematical Sciences Science China Mathematics       (Followers: 1) Science Progress       (Followers: 1) Sciences & Technologie A : sciences exactes Selecta Mathematica       (Followers: 1) SeMA Journal Semigroup Forum       (Followers: 1) Set-Valued and Variational Analysis SIAM Journal on Applied Mathematics       (Followers: 11) SIAM Journal on Computing       (Followers: 11) SIAM Journal on Control and Optimization       (Followers: 18) SIAM Journal on Discrete Mathematics       (Followers: 8) SIAM Journal on Financial Mathematics       (Followers: 3) SIAM Journal on Mathematics of Data Science       (Followers: 1) SIAM Journal on Matrix Analysis and Applications       (Followers: 3) SIAM Journal on Optimization       (Followers: 12) Siberian Advances in Mathematics Siberian Mathematical Journal Sigmae SILICON SN Partial Differential Equations and Applications Soft Computing       (Followers: 7) Statistics and Computing       (Followers: 13) Stochastic Analysis and Applications       (Followers: 2) Stochastic Partial Differential Equations : Analysis and Computations       (Followers: 1) Stochastic Processes and their Applications       (Followers: 5) Stochastics and Dynamics Studia Scientiarum Mathematicarum Hungarica       (Followers: 1) Studia Universitatis Babeș-Bolyai Informatica Studies In Applied Mathematics       (Followers: 1) Studies in Mathematical Sciences       (Followers: 1) Superficies y vacio Suska Journal of Mathematics Education       (Followers: 1) Swiss Journal of Geosciences       (Followers: 1) Synthesis Lectures on Algorithms and Software in Engineering       (Followers: 2) Synthesis Lectures on Mathematics and Statistics       (Followers: 1) Tamkang Journal of Mathematics Tatra Mountains Mathematical Publications Teaching Mathematics       (Followers: 10) Teaching Mathematics and its Applications: An International Journal of the IMA       (Followers: 4) Teaching Statistics       (Followers: 8) Technometrics       (Followers: 8) The Journal of Supercomputing       (Followers: 1) The Mathematica journal The Mathematical Gazette       (Followers: 1) The Mathematical Intelligencer The Ramanujan Journal The VLDB Journal       (Followers: 2) Theoretical and Mathematical Physics       (Followers: 7) Theory and Applications of Graphs Topological Methods in Nonlinear Analysis Transactions of the London Mathematical Society       (Followers: 1) Transformation Groups Turkish Journal of Mathematics Ukrainian Mathematical Journal Uniciencia Uniform Distribution Theory Unisda Journal of Mathematics and Computer Science Unnes Journal of Mathematics       (Followers: 2) Unnes Journal of Mathematics Education       (Followers: 2) Unnes Journal of Mathematics Education Research       (Followers: 1) Ural Mathematical Journal Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki Vestnik St. Petersburg University: Mathematics VFAST Transactions on Mathematics       (Followers: 1) Vietnam Journal of Mathematics Vinculum Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics       (Followers: 1) Water SA       (Followers: 2) Water Waves Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik       (Followers: 1) ZDM       (Followers: 2) Zeitschrift für angewandte Mathematik und Physik       (Followers: 2) Zeitschrift fur Energiewirtschaft Zetetike

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Similar Journals
 SN Partial Differential Equations and ApplicationsNumber of Followers: 0      Hybrid journal (It can contain Open Access articles) ISSN (Print) 2662-2963 - ISSN (Online) 2662-2971 Published by Springer-Verlag  [2469 journals]
• Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New
Hierarchy of Moments and Qualitative Analysis

Abstract: A relativistic version of the Kinetic Theory for polyatomic gas is considered and a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal modes is presented. In the first part, we prove via classical limit that the truncated system of moments dictates a precise hierarchy of moments in the classical framework. In the second part, we consider the particular physical case of fifteen moments closed via maximum entropy principle in a neighborhood of equilibrium state. We prove that this symmetric hyperbolic system satisfies all the general assumptions of some theorems that guarantee the global existence of smooth solutions for initial data sufficiently small.
PubDate: 2022-05-16

• The Gauss map of minimal surfaces in $${\mathbb {S}}^2 \times {\mathbb {R}}$$ S 2 × R

Abstract: In this work, we consider the model of $${{\,\mathrm{{\mathbb {S}}^2\times {\mathbb {R}}}\,}}$$ isometric to $${\mathbb {R}}^3{\setminus } \{0\}$$ , endowed with a metric conformally equivalent to the Euclidean metric of $${\mathbb {R}}^3$$ , and we define a Gauss map for surfaces in this model likewise in the Euclidean 3-space. We show as a main result that any two minimal conformal immersions in $${{\,\mathrm{{\mathbb {S}}^2\times {\mathbb {R}}}\,}}$$ with the same non-constant Gauss map differ by only two types of ambient isometries: either $$f=({{\,\mathrm{\mathrm {Id}}\,}},T)$$ , where T is a translation on $${\mathbb {R}}$$ , or $$f=({\mathcal {A}},T)$$ , where $${\mathcal {A}}$$ denotes the antipodal map on $${\mathbb {S}}^2$$ . This means that any minimal immersion is determined by its conformal structure and its Gauss map, up to those isometries.
PubDate: 2022-05-16

• Cauchy problem for the ES-BGK model with the correct Prandtl number

Abstract: In this paper, we establish the existence of weak solutions to the ellipsoidal BGK model (ES-BGK model) of the Boltzmann equation with the correct Prandtl number, which corresponds to the case when the Knudsen parameter is $$-1/2$$ .
PubDate: 2022-05-16

• Second-order diffusion limit for the phonon transport equation:
asymptotics and numerics

Abstract: We investigate the numerical implementation of the limiting equation for the phonon transport equation in the small Knudsen number regime. The main contribution is that we derive the limiting equation that achieves the second order convergence, and provide a numerical recipe for computing the Robin coefficients. These coefficients are obtained by solving an auxiliary half-space equation. Numerically the half-space equation is solved by a spectral method that relies on the even-odd decomposition to eliminate corner-point singularity. Numerical evidences will be presented to justify the second order asymptotic convergence rate.
PubDate: 2022-05-13

• A method of fundamental solutions with time-discretisation for wave motion
from lateral Cauchy data

Abstract: A method of fundamental solutions (MFS) is proposed and analyzed for the ill-posed problem of finding the wave motion from given lateral Cauchy data in annular domains. A finite difference scheme, known as the Houbolt method, is applied for the time-discretisation rendering a sequence of elliptic systems corresponding to the number of time steps. The solution of the elliptic problems is sought as a linear combination of elements in what is known as a fundamental sequence with source points placed outside of the solution domain. Collocating on the boundary part where Cauchy data is given, a sequence of linear equations is obtained for finding the coefficients in the MFS approximation. Tikhonov regularization is employed to generate a stable solution to the obtained systems of linear equations. It is outlined that the elements in the fundamental sequence constitute a linearly independent and dense set on the boundary of the solution domain in the $$L_2$$ -sense. Numerical results both in two and three-dimensional domains confirm the applicability of the proposed strategy for the considered lateral Cauchy problem for the wave equation both for exact and noisy data.
PubDate: 2022-05-09

• Heat equation with an exponential nonlinear boundary condition in the half
space

Abstract: We consider the initial-boundary value problem for the heat equation in the half space with an exponential nonlinear boundary condition. We prove the existence of global-in-time solutions under the smallness condition on the initial data in the Orlicz space $$\mathrm {exp}L^2({\mathbb {R}}^N_+)$$ . Furthermore, we derive decay estimates and the asymptotic behavior for small global-in-time solutions.
PubDate: 2022-05-06

• Transport equations with inflow boundary conditions

Abstract: Abstract We provide bounds in a Sobolev-space framework for transport equations with nontrivial inflow and outflow. We give, for the first time, bounds on the gradient of the solution with the type of inflow boundary conditions that occur in Poiseuille flow. Following ground-breaking work of the late Charles Amick, we name a generalization of this type of flow domain in his honor. We prove gradient bounds in Lebesgue spaces for general Amick domains which are crucial for proving well posedness of the grade-two fluid model. We include a complete review of transport equations with inflow boundary conditions, providing novel proofs in most cases. To illustrate the theory, we review and extend an example of Bernard that clarifies the singularities of solutions of transport equations with nonzero inflow boundary conditions.
PubDate: 2022-04-30

• Dirichlet spectral-Galerkin approximation method for the simply supported
vibrating plate eigenvalues

Abstract: Abstract In this paper, we analyze and implement the Dirichlet spectral-Galerkin method for approximating simply supported vibrating plate eigenvalues with variable coefficients. This is a Galerkin approximation that uses the approximation space that is the span of finitely many Dirichlet eigenfunctions for the Laplacian. Convergence and error analysis for this method is presented for two and three dimensions. Here we will assume that the domain has either a smooth or Lipschitz boundary with no reentrant corners. An important component of the error analysis is Weyl’s law for the Dirichlet eigenvalues. Numerical examples for computing the simply supported vibrating plate eigenvalues for the unit disk and square are presented. In order to test the accuracy of the approximation, we compare the spectral-Galerkin method to the separation of variables for the unit disk. Whereas for the unit square we will numerically test the convergence rate for a variable coefficient problem.
PubDate: 2022-04-21

• Local well-posedness of the coupled Yang–Mills and Dirac system in
temporal gauge

Abstract: Abstract We consider the classical Yang–Mills system coupled with a Dirac equation in 3+1 dimensions in temporal gauge. Using that most of the nonlinear terms fulfill a null condition we prove local well-posedness for small data with minimal regularity assumptions. This problem for smooth data was solved forty years ago by Y. Choquet-Bruhat and D. Christodoulou. The corresponding problem in Lorenz gauge was considered recently by the author in [14].
PubDate: 2022-04-10

• Applications of p-harmonic transplantation for functional inequalities
involving a Finsler norm

Abstract: Abstract In this paper, we prove several inequalities such as Sobolev, Poincaré, logarithmic Sobolev, which involve a general norm with accurate information of extremals, and are valid for some symmetric functions. We use Ioku’s transformation, which is a special case of p-harmonic transplantation, between symmetric functions.
PubDate: 2022-04-07

• Rotational self-friction problem of elastic rods

Abstract: Abstract The aim of this paper is to extend the modeling of a hyperelastic rod undergoing large displacements with tangential self-friction to their modeling with rotational self-friction. The discontinuity of contact force into a contact region not known in advance with taking into account the effects of friction in this problem type leads to serious difficulties in modelization, mathematical and numerical analysis. In this paper, we present an accurate modeling of rotational and tangential self-friction with Coulomb’s law and describe also an augmented Lagrangian method to present a weak variational formulation approach of this problem. We then use the minimization method of the total energy to present an existence result of solution for the nonlinear penalized formulation. Finally, we give the linearization and the finite-element discretization of the weak variational formulation that can be useful for a numerical implementation.
PubDate: 2022-04-06

• On a sharp weighted Sobolev inequality on the upper half-space and its
applications

Abstract: Abstract In this paper, we establish a sharp weighted Sobolev inequality on the upper half-space. We also discourse existence and nonexistence of minimizer . As an application, we study a quasilinear problem on the upper half-space.
PubDate: 2022-04-05

• Entire solutions with moving singularities for a semilinear heat equation
with a critical exponent

Abstract: Abstract We consider the semilinear heat equation $$\partial _t u -\Delta u=u^{N/(N-2)}$$ in $$\Omega$$ with $$u=0$$ on $$\partial \Omega$$ , where $$N\ge 3$$ and $$\Omega$$ is a smooth bounded domain in $$\mathbf {R}^N$$ . Let $$\xi :\mathbf {R}\rightarrow \Omega$$ satisfy $$\overline{\{\xi (t);t\in \mathbf {R}\}}\subset \Omega$$ . Under some assumption on the uniform Hölder continuity of $$\xi$$ , we construct a nonnegative solution u defined for all $$t\in \mathbf {R}$$ satisfying $$u(x,t)\rightarrow \infty$$ for each $$t\in \mathbf {R}$$ as $$x\rightarrow \xi (t)$$ .
PubDate: 2022-03-29

• Dynamical universality for random matrices

Abstract: Abstract We establish an invariance principle corresponding to the universality of random matrices. More precisely, we prove the dynamical universality of random matrices in the sense that, if the random point fields $$\mu ^N$$ of N-particle systems describing the eigenvalues of random matrices or log-gases with general self-interaction potentials V converge to some random point field $$\mu$$ , then the associated natural $$\mu ^N$$ -reversible diffusions represented by solutions of stochastic differential equations (SDEs) converge to some $$\mu$$ -reversible diffusion given by the solution of an infinite-dimensional SDE (ISDE). Our results are general theorems that can be applied to various random point fields related to random matrices such as sine, Airy, Bessel, and Ginibre random point fields. In general, the representations of finite-dimensional SDEs describing N-particle systems are very complicated. Nevertheless, the limit ISDE has a simple and universal representation that depends on a class of random matrices appearing in the bulk, and at the soft- and at hard-edge positions. Thus, we prove that ISDEs such as the infinite-dimensional Dyson model and the Airy, Bessel, and Ginibre interacting Brownian motions are universal dynamical objects.
PubDate: 2022-03-23

• Existence of a minimizer for a nonlinear Schrödinger system with three
wave interaction under non-symmetric potentials

Abstract: Abstract In this paper, we show the existence of a minimizer for the $$L^2$$ -constrained minimization problem associated with a nonlinear Schrödinger system with three wave interaction without assuming symmetry for potentials.
PubDate: 2022-03-23

• Liouville theorems for parabolic systems with homogeneous nonlinearities

Abstract: Abstract Liouville theorems for scaling invariant nonlinear parabolic equations and systems (saying that the equation or system does not possess nontrivial entire solutions) guarantee optimal universal estimates of solutions of related initial and initial-boundary value problems. Assume that $$p>1$$ is subcritical in the Sobolev sense. In the case of nonnegative solutions and the system \begin{aligned} U_t-\varDelta U=F(U)\quad \hbox {in}\quad \mathbb {R}^n\times \mathbb {R}\end{aligned} where $$U=(u_1,\dots ,u_N)$$ , $$F=\nabla G$$ is p-homogeneous and satisfies the positivity assumptions $$G(U)>0$$ for $$U\ne 0$$ and $$\xi \cdot F(U)>0$$ for some $$\xi \in \mathbb {R}^N$$ and all $$U\ge 0$$ , $$U\ne 0$$ , it has recently been shown in [P. Quittner, Duke Math. J. 170 (2021), 1113–1136] that the parabolic Liouville theorem is true whenever the corresponding elliptic Liouville theorem for the system $$-\varDelta U=F(U)$$ is true. By modifying the arguments in that proof we show that the same result remains true without the positivity assumptions on G and F, and that the class of solutions can also be enlarged to contain (some or all) sign-changing solutions. In particular, in the scalar case $$N=1$$ and $$F(u)= u ^{p-1}u$$ , our results cover the main result in [T. Bartsch, P. Poláčik and P. Quittner, J. European Math. Soc. 13 (2011), 219–247]. We also prove a parabolic Liouville theorem for solutions in $$\mathbb {R}^n_+\times \mathbb {R}$$ satisfying homogeneous Dirichlet boundary conditions on $$\partial \mathbb {R}^n_+\times \mathbb {R}$$ since such theorem is also needed if one wants to prove universal estimates of solutions of related systems in $$\varOmega \times (0,T)$$ , where $$\varOmega \subset \mathbb {R}^n$$ is a smooth domain. Finally, we use our Liouville theorems to prove universal estimates for particular parabolic systems.
PubDate: 2022-03-22

• Existence and multiplicity of solutions for Schrödinger equations with
asymptotically linear nonlinearities allowing interaction with essential
spectrum

Abstract: Abstract We study the nonlinear problem $$-\Delta u + V(x)u = f(u), x \in \mathbb {R}^{N}, \lim _{ x \rightarrow \infty } u(x) = 0$$ , where the Schrödinger operator $$-\Delta + V$$ is positive and f is asymptotically linear. Moreover, $$\lim _{ x \rightarrow \infty } V(x) = \sigma _{0}$$ . We allow the interference of essential spectrum, i.e. $$\sup _{t \ne 0}f(t)/t \ge \sigma _{0}$$ . If $$\sup _{t \ne 0}2F(t)/t^{2} < \sigma _{0}$$ , the existence of four solutions will be proved by Morse theory. If $$\sup _{t \ne 0}2F(t)/t^{2} \ge \sigma _{0}$$ , we can find a positive solution when $$mes(\{x \in \mathbb {R}^{N}: V(x)> \sigma _{0}\}) > 0$$ .
PubDate: 2022-03-21

• Calderón-Zygmund theory for non-convolution type nonlocal equations
with continuous coefficient

Abstract: Abstract Given $$2\le p<\infty$$ , $$s\in (0, 1)$$ and $$t\in (1, 2s)$$ , we establish interior $$W^{t,p}$$ Calderón-Zygmund estimates for solutions of nonlocal equations of the form \begin{aligned} \int _{\Omega } \int _{\Omega } K\left( x, x-y ,\frac{x-y}{ x-y }\right) \frac{(u(x)-u(y))(\varphi (x)-\varphi (y))}{ x-y ^{n+2s}} dx dy = g[\varphi ], \quad \forall \phi \in C_c^{\infty }(\Omega ) \end{aligned} where $$\Omega \subset \mathbb {R}^{n}$$ is an open set. Here we assume K is bounded, nonnegative and continuous in the first entry – and ellipticity is ensured by assuming that K is strictly positive in a cone. The setup is chosen so that it is applicable for nonlocal equations on manifolds, but the structure of the equation is general enough that it also applies to the certain fractional p-Laplace equations around points where $$u \in C^1$$ and $$\nabla u \ne 0$$ .
PubDate: 2022-03-21

• Global in time solvability for a semilinear heat equation without the
self-similar structure

Abstract: Abstract This paper is devoted to the global in time solvability for a superlinear parabolic equation \begin{aligned} \partial _t u = \Delta u + f(u), \quad x\in {\mathbb {R}}^N, \quad t>0, \quad u(x,0) = u_0(x), \quad x\in {\mathbb {R}}^N,\quad \hbox {(P)} \end{aligned} where f(u) denotes superlinear nonlinearity of problem (P) and $$u_0$$ is a nonnegative initial function. As a continuation of the paper in 2018 by the authors of this paper, we consider the global in time existence and nonexistence of nonnegative solutions for problem (P). We prove the existence of global in time solutions based on a quasi-scaling property for (P). We also discuss the nonexistence of nontrivial nonnegative global in time solutions by focusing on the behavior of f(u) as $$u\rightarrow +0$$ . These results enable us to generalize the Fujita exponent, which is known as the critical exponent classifying the global in time solvability for a power-type semilinear heat equation.
PubDate: 2022-03-11

• Ground states for Maxwell’s equations in nonlocal nonlinear media

Abstract: Abstract In this paper we investigate the existence of ground states and dual ground states for Maxwell’s Equations in $${\mathbb {R}}^3$$ in nonlocal nonlinear metamaterials. We prove that several nonlocal models admit ground states in contrast to their local analogues.
PubDate: 2022-03-09

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