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

2023/03/27 by Laurençot, Philippe · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.15044

Abstract

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 C¹-smooth on [0,∞). The result is valid in arbitrary space dimension n≥ 1 and extends a previous result which only deals with space dimensions n∈ \1,2,3\.

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• Global classical solutions to a two-dimensional chemotaxis-fluid system involving signal-dependent degenerate diffusion

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