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On a class of reaction-diffusion equations with aggregation

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arxiv 1906.10892 v2 pith:U3WVLQBG submitted 2019-06-26 math.AP

Li Chen , Laurent Desvillettes , Evangelos Latos This is my paper · ORCID
classification math.AP
keywords aggregationreaction-diffusionappearingaroundblowcasescertainchemotaxis
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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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