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

By Philippe Laurençot

Appears in 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.

Information about the video

Date of recording 09/04/2024
Date of publication 30/04/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20159903
Cite this video 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

Domain(s)

Analysis of PDEs

Bibliography

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

MSC codes

Document(s)

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

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