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Article Dans Une Revue Advanced Nonlinear Studies Année : 2020

On a Class of Reaction-Diffusion Equations with Aggregation

Résumé

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.
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Dates et versions

hal-03174251 , version 1 (19-03-2021)

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Li Chen, Laurent Desvillettes, Evangelos Latos. On a Class of Reaction-Diffusion Equations with Aggregation. Advanced Nonlinear Studies, 2020, 21 (1), pp.119 - 133. ⟨10.1515/ans-2020-2092⟩. ⟨hal-03174251⟩
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