Asymptotic behaviour for a diffusion equation governed by nonlocal interactions.
Analysis of PDEs
2010-03-23 v1
Abstract
In this paper we study the asymptotic behaviour of a nonlocal nonlinear parabolic equation governed by a parameter. After giving the existence of unique branch of solutions composed by stable solutions in stationary case, we gives for the parabolic problem estimates of solution based on using the Moser iterations and existence of global attractor. We finish our study by the issue of asymptotic behaviour in some cases when .
Cite
@article{arxiv.1003.4121,
title = {Asymptotic behaviour for a diffusion equation governed by nonlocal interactions.},
author = {Armel Andami Ovono},
journal= {arXiv preprint arXiv:1003.4121},
year = {2010}
}