On a class of reaction-diffusion equations with aggregation

Li Chen; Laurent Desvillettes; Evangelos Latos

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arXiv · 1906.10892

On a class of reaction-diffusion equations with aggregation

Li Chen·Laurent Desvillettes·Evangelos Latos

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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 non-constant solutions are studied in certain cases.

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Li Chen, Laurent Desvillettes, Evangelos Latos. 2019-06-26. On a class of reaction-diffusion equations with aggregation. https://arxiv.org/abs/1906.10892

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