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Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2023

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

Résumé

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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Dates et versions

hal-03580629 , version 1 (18-02-2022)

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Laurent Desvillettes, Philippe Laurençot, Ariane Trescases, Michael Winkler. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis: Theory, Methods and Applications, 2023, 226, pp.113153. ⟨10.1016/j.na.2022.113153⟩. ⟨hal-03580629⟩
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