Global-in-time behavior of weak solutions to reaction-diffusion systems with inhomogeneous Dirichlet boundary condition

However, the notion of entropy solution to nonlinear Cauchy–Dirichlet hyperbolic problems given by Bardos, LeRoux, and N´ed´elec is not really suitable to the study of FV schemes

However, the Neumann problem with boundary data in the negative Sobolev space ˙ W −1 p (∂ R n+1 + ) was investigated in [66, Sections 4 and 22] in the case of harmonic and

Brada, Comportement asymptotique de solutions d’´ equations elliptiques semi-lin´ eaires dans un cylindre, Asymptotic Anal.. Quitner, Stationary solutions, blow-up and convergence

DEUX SYSTÈMES AUX DIFFUSIONS CROISÉES 15 que la vitesse de la réaction est donnée par la loi d’action de masse (voir [46] pour plus de dé- tails sur les mécanismes de réaction).

A probabilistic approach to large time behaviour of viscosity solutions of parabolic equations with Neumann boundary conditions... A probabilistic approach to large time behaviour

Abstract : We prove here global existence in time of weak solutions for some reaction- diffusion systems with natural structure conditions on the nonlinear reactive terms which

The purpose of our work is to analyze the asymptotic behavior of the global solutions for reaction-diffusion systems arising in reversible chemical kinetics and with

Actually, in Section IV, it will be shown that in the presence of a moderate white noise added to the Sivashinsky equation, the solution is much more often close to the most