On a Class of Reaction-Diffusion Equations with Aggregation

被引：0

作者：

Chen, Li ^{[2
]}

Desvillettes, Laurent ^{[3
]}

Latos, Evangelos ^{[1
]}

机构：

[1] Karl Franzens Univ Graz, Inst Math & Sci Comp, Heinrichstr 36, A-8010 Graz, Austria

[2] Univ Mannheim, D-68131 Mannheim, Germany

[3] UPMC Univ Paris 06, Univ Paris Diderot, Sorbonne Univ,UMR 7586,CNRS, Sorbonne Paris Cite,Inst Math Jussieu Paris Rive, F-75013 Paris, France

来源：

ADVANCED NONLINEAR STUDIES | 2021年 / 21卷 / 01期

关键词：

Reaction-diffusion with Aggregation; Global Existence of Classical Solutions; Blow-Up; Stability; CRITICAL EXPONENTS;

D O I：

10.1515/ans-2020-2092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：119 / 133

页数：15

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