Global existence and convergence to steady states in a chemorepulsion system
Volume 81 / 2008
Banach Center Publications 81 (2008), 105-117
MSC: 35K57, 35K60, 92C17.
DOI: 10.4064/bc81-0-7
Abstract
In this paper we consider a model of chemorepulsion. We prove global existence and uniqueness of smooth classical solutions in space dimension $n=2$. For $n=3,4$ we prove the global existence of weak solutions. The convergence to steady states is shown in all cases.
