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Article Dans Une Revue Bulletin of the London Mathematical Society Année : 2023

Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility

Jie Jiang
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Philippe Laurençot

Résumé

Global existence and boundedness of classical solutions are shown for a parabolic-elliptic chemotaxis system with local sensing when the motility function is assumed to be unbounded at infinity. The cornerstone of the proof is the derivation of $L^\infty$-estimates on the second component of the system and is achieved by various comparison arguments.
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Dates et versions

hal-04018777 , version 1 (08-03-2023)

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Jie Jiang, Philippe Laurençot. Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility. Bulletin of the London Mathematical Society, 2023, 56 (2), pp.681--700. ⟨10.1112/blms.12958⟩. ⟨hal-04018777⟩
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