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Article Dans Une Revue Bulletin of the Korean Mathematical Society Année : 2024

LARGE TIME CONVERGENCE FOR A CHEMOTAXIS MODEL WITH DEGENERATE LOCAL SENSING AND CONSUMPTION

Philippe Laurençot

Résumé

Convergence to a steady state in the long term limit is established for global weak solutions to a chemotaxis model with degenerate local sensing and consumption, when the motility function is C^1-smooth on [0, ∞), vanishes at zero, and is positive on (0, ∞). A condition excluding that the large time limit is spatially homogeneous is also provided. These results extend previous ones derived for motility functions vanishing algebraically at zero and rely on a completely different approach.
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hal-04053626 , version 1 (31-03-2023)

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Philippe Laurençot. LARGE TIME CONVERGENCE FOR A CHEMOTAXIS MODEL WITH DEGENERATE LOCAL SENSING AND CONSUMPTION. Bulletin of the Korean Mathematical Society, 2024, 61 (2), pp.479--488. ⟨10.4134/BKMS.b230173⟩. ⟨hal-04053626⟩
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