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arXiv · 2202.10246

Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing

Laurent Desvillettes·Philippe Laurençot·Ariane Trescases·Michael Winkler
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Abstract

New estimates and global existence results are provided for a class of systems of cross diffusion equations arising from the modeling of chemotaxis with local sensing, possibly featuring a growth term of logistic-type as well. For sublinear non-increasing motility functions, convergence to the spatially homogeneous steady state is shown, a dedicated Lyapunov functional being constructed for that purpose.

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Laurent Desvillettes, Philippe Laurençot, Ariane Trescases, Michael Winkler. 2022-02-21. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. https://arxiv.org/abs/2202.10246

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