On a class of reaction-diffusion equations with aggregation
Analysis of PDEs
2020-02-04 v2
Abstract
In this paper, global-in-time existence and blow up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis). Properties of the corresponding steady-state problem are also presented. Moreover, the stability around constant equilibria and the non-existence of non-constant solutions are studied in certain cases.
Cite
@article{arxiv.1906.10892,
title = {On a class of reaction-diffusion equations with aggregation},
author = {Li Chen and Laurent Desvillettes and Evangelos Latos},
journal= {arXiv preprint arXiv:1906.10892},
year = {2020}
}