EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 13 of 13

Entropic approximation in kinetic theory

Jacques Schneider (2004)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Approximation theory in the context of probability density function turns out to go beyond the classical idea of orthogonal projection. Special tools have to be designed so as to respect the nonnegativity of the approximate function. We develop here and justify from the theoretical point of view an approximation procedure introduced by Levermore [Levermore, J. Stat. Phys. 83 (1996) 1021–1065] and based on an entropy minimization principle under moment constraints. We prove in particular a global...

Entropic approximation in kinetic theory

Jacques Schneider (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Approximation theory in the context of probability density function turns out to go beyond the classical idea of orthogonal projection. Special tools have to be designed so as to respect the nonnegativity of the approximate function. We develop here and justify from the theoretical point of view an approximation procedure introduced by Levermore [Levermore, J. Stat. Phys.83 (1996) 1021–1065] and based on an entropy minimization principle under moment constraints. We prove in particular...

Entropy of scalar reaction-diffusion equations

Siniša Slijepčević (2014)

Mathematica Bohemica

We consider scalar reaction-diffusion equations on bounded and extended domains, both with the autonomous and time-periodic nonlinear term. We discuss the meaning and implications of the ergodic Poincaré-Bendixson theorem to dynamics. In particular, we show that in the extended autonomous case, the space-time topological entropy is zero. Furthermore, we characterize in the extended nonautonomous case the space-time topological and metric entropies as entropies of a pair of commuting planar homeomorphisms....

Ergodicity for the stochastic complex Ginzburg–Landau equations

Cyril Odasso (2006)

Annales de l'I.H.P. Probabilités et statistiques

Existence and approximation results for gradient flows

Riccarda Rossi, Giuseppe Savaré (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

This note addresses the Cauchy problem for the gradient flow equation in a Hilbert space $H$ $\{\begin{matrix} u^{...} \end{matrix}$

Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations.

Diagana, Toka (2011) Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of weak solutions to doubly degenerate diffusion equations

Aleš Matas, Jochen Merker (2012) Applications of Mathematics

We prove existence of weak solutions to doubly degenerate diffusion equations

\dot{u} = Δ_{p} u^{m - 1} + f (m, p \geq 2)

by Faedo-Galerkin approximation for general domains and general nonlinearities. More precisely, we discuss the equation in an abstract setting, which allows to choose function spaces corresponding to bounded or unbounded domains

Ω \subset ℝ^{n}

with Dirichlet or Neumann boundary conditions. The function

f

can be an inhomogeneity or a nonlinearity involving terms of the form

f (u)

div (F (u))

. In the appendix, an introduction to weak differentiability...

Exotic galilean symmetry and non-commutative mechanics.

Horváthy, Peter A., Martina, Luigi, Stichel, Peter C. (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Exponential attractor for a first-order dissipative lattice dynamical system.

Fan, Xiaoming (2008)

Journal of Applied Mathematics

Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls.

Gal, Ciprian G. (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Exponential decay to partially thermoelastic materials

Jaime E. Muñoz Rivera, Vanilde Bisognin, Eleni Bisognin (2002)

Bollettino dell'Unione Matematica Italiana

We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.

Exponential stability of distributed parameter systems governed by symmetric hyperbolic partial differential equations using Lyapunov’s second method

Abdoua Tchousso, Thibaut Besson, Cheng-Zhong Xu (2009)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper we study asymptotic behaviour of distributed parameter systems governed by partial differential equations (abbreviated to PDE). We first review some recently developed results on the stability analysis of PDE systems by Lyapunov’s second method. On constructing Lyapunov functionals we prove next an asymptotic exponential stability result for a class of symmetric hyperbolic PDE systems. Then we apply the result to establish exponential stability of various chemical engineering processes...

Exponential stability of distributed parameter systems governed by symmetric hyperbolic partial differential equations using Lyapunov's second method

Abdoua Tchousso, Thibaut Besson, Cheng-Zhong Xu (2008)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper we study asymptotic behaviour of distributed parameter systems governed by partial differential equations (abbreviated to PDE). We first review some recently developed results on the stability analysis of PDE systems by Lyapunov's second method. On constructing Lyapunov functionals we prove next an asymptotic exponential stability result for a class of symmetric hyperbolic PDE systems. Then we apply the result to establish exponential stability of various chemical engineering processes...

Currently displaying 1 – 13 of 13

Page 1