On a Class of Reaction-Diffusion Equations with Aggregation-Reference-Cited by-同舟云学术

On a Class of Reaction-Diffusion Equations with Aggregation

Published:2020-05-12 Issue:1 Volume:21 Page:119-133
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Chen Li¹,Desvillettes Laurent²,Latos Evangelos³

Affiliation:

1. Universität Mannheim , 68131 Mannheim , Germany

2. Université Paris Diderot , Sorbonne Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, UMR 7586, CNRS, Sorbonne Universités, UPMC Univ. Paris 06, F-75013 , Paris , France

3. University of Graz , Institute for Mathematics and Scientific Computing, Heinrichstr. 36, A-8010 Graz , Austria

Abstract

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 nonconstant solutions are studied in certain cases.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2020-2092/pdf

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