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Paper detail

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 and the non-existence of non-constant solutions are studied in certain cases.

preprint2020arXivOpen access
Li ChenLaurent DesvillettesEvangelos Latos
math.AP
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Li ChenLaurent DesvillettesEvangelos Latos

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