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Article Dans Une Revue Communications in Mathematical Sciences Année : 2023

Long term spatial homogeneity for a chemotaxis model with local sensing and consumption

Philippe Laurençot

Résumé

Global weak solutions to a chemotaxis model with local sensing and consumption are shown to converge to spatially homogeneous steady states in the large time limit, when the motility is assumed to be positive and $C^1$-smooth on $[0,\infty)$. The result is valid in arbitrary space dimension $n\ge 1$ and extends a previous result which only deals with space dimensions $n\in \{1,2,3\}$.
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hal-04044160 , version 1 (24-03-2023)

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Philippe Laurençot. Long term spatial homogeneity for a chemotaxis model with local sensing and consumption. Communications in Mathematical Sciences, 2023, 21 (6), pp.1743--1750. ⟨hal-04044160⟩
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