Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space

doi:10.1016/j.jmaa.2007.03.014

Journal of Mathematical Analysis and Applications

Volume 336, Issue 1, 1 December 2007, Pages 704-726

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Abstract

We consider the Cauchy problem for a parabolic system of chemotaxis in $R^{N}$ $(N ⩾ 1)$ , and give the decay rates and asymptotic profiles of bounded solutions.

Keywords

Chemotaxis

Parabolic system

Large time behavior