On a Class of Reaction-Diffusion Equations with Aggregation

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...

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Bibliographic Details
Main Authors: Chen Li, Desvillettes Laurent, Latos Evangelos
Format: Article
Language:English
Published: De Gruyter 2021-02-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2020-2092