Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology

Details Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology

2009-02-26

arxiv.org/abs/0902.4531v1

Nonlinear Analysis 2010

Mathematics

Analysis of PDEs

29 pages

Scientific paper

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.

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