Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
Analysis of PDEs
2009-11-18 v1
Abstract
In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain of the two-dimensional Euclidean space. This system appears as a mathematical model for some biological processes. Global existence and uniqueness of a nonnegative classical H\"older continuous solution are proved. The last part of the paper is devoted to the study of the asymptotic behavior of the solutions.
Keywords
Cite
@article{arxiv.0902.4531,
title = {Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology},
author = {Gabriela Litcanu and Cristian Morales-Rodrigo},
journal= {arXiv preprint arXiv:0902.4531},
year = {2009}
}
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29 pages