Global existence and boundedness for chemotaxis models with local sensing | Vidéo | Carmin.tv

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Global existence and boundedness for chemotaxis models with local sensing

De Philippe Laurençot

Apparaît dans la collection : Aggregation-Diffusion Equations & Collective Behavior: Analysis, Numerics and Applications / Conférence Chaire Jean Morlet: Equations d'agrégation-diffusion et comportement collectif: Analyse, schémas numériques et applications

Global existence of classical solutions is investigated for a chemotaxis model with local sensing for a general class of mobility functions. In contrast to the classical Keller-Segel chemotaxis model, no finite blowup occurs but the formation of singularities is possibly shifted to infinity. In addition, some classes of mobility functions for which solutions are bounded are identified. Joint works with Jie Jiang, Wuhan et Yanyan Zhang, Shanghai.

Informations sur la vidéo

Date de captation 09/04/2024
Date de publication 30/04/2024
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20159903
Citer cette vidéo Laurençot, Philippe (09/04/2024). Global existence and boundedness for chemotaxis models with local sensing. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20159903
URL https://dx.doi.org/10.24350/CIRM.V.20159903

Domaine(s)

Equations aux dérivées partielles

Bibliographie

JIANG, Jie et LAURENÇOT, Philippe. Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility. Journal of Differential Equations, 2021, vol. 299, p. 513-541. - https://doi.org/10.1016/j.jde.2021.07.029
JIANG, Jie, LAURENÇOT, Philippe, et ZHANG, Yanyan. Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. Communications in Partial Differential Equations, 2022, vol. 47, no 5, p. 1024-1069. - https://doi.org/10.1080/03605302.2021.2021422
JIANG, Jie et LAURENÇOT, Philippe. Global bounded classical solutions to a parabolic–elliptic chemotaxis model with local sensing and asymptotically unbounded motility. Bulletin of the London Mathematical Society, 2024, vol. 56, no 2, p. 681-700. - https://doi.org/10.1112/blms.12958

Codes MSC

Document(s)

https://www.cirm-math.fr/RepOrga/3049/Slides/Philippe_Laurencot.pdf

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