On a Class of Reaction-Diffusion Equations with Aggregation

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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
On a Class of Reaction-Diffusion Equations with Aggregation ; volume:21 ; number:1 ; year:2021 ; pages:119-133 ; extent:15
Advanced nonlinear studies ; 21, Heft 1 (2021), 119-133 (gesamt 15)

Creator
Chen, Li
Desvillettes, Laurent
Latos, Evangelos

DOI
10.1515/ans-2020-2092
URN
urn:nbn:de:101:1-2022072614040401984192
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:33 AM CEST

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Associated

  • Chen, Li
  • Desvillettes, Laurent
  • Latos, Evangelos

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