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Global existence and boundedness for chemotaxis models with local sensing
Multi angle
Authors : Laurençot, Philippe (Author of the conference)
CIRM (Publisher )
35B40 - Asymptotic behavior of solutions of PDE
35K55 - Nonlinear parabolic equations
35K51 - Initial-boundary value problems for second-order parabolic systems
35A01 - Existence problems: global existence, local existence, non-existence
Additional resources :
https://www.cirm-math.fr/RepOrga/3049/Slides/Philippe_Laurencot.pdf
CIRM (Publisher )
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Abstract :
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.
Keywords : Chemotaxis; global existence; boundedness; comparison
MSC Codes : Keywords : Chemotaxis; global existence; boundedness; comparison
35B40 - Asymptotic behavior of solutions of PDE
35K55 - Nonlinear parabolic equations
35K51 - Initial-boundary value problems for second-order parabolic systems
35A01 - Existence problems: global existence, local existence, non-existence
Additional resources :
https://www.cirm-math.fr/RepOrga/3049/Slides/Philippe_Laurencot.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 30/04/2024 Conference Date : 09/04/2024 Subseries : Research School arXiv category : Analysis of PDEs Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:43:31 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-04-09_Laurencot_1.mp4 
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Information on the Event
Event Title : Aggregation-Diffusion Equations & Collective Behavior: Analysis, Numerics and Applications / Conférence Chaire Jean Morlet: Equations d'agrégation-diffusion et comportement collectif: Analyse, schémas numériques et applicationsEvent Organizers : Carrillo, José Antonio ; Esposito, Antonio ; Gómez-Castro, David ; Nouri, Anne Dates : 08/04/2024 - 12/04/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3049.html
Citation Data
DOI : 10.24350/CIRM.V.20159903Cite this video as: Laurençot, Philippe (2024). Global existence and boundedness for chemotaxis models with local sensing. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20159903 URI : http://dx.doi.org/10.24350/CIRM.V.20159903 |
See Also
- [Multi angle] Suppression of chemotactic blow-up by buoyancy / Author of the conference Yao, Yao.
- [Multi angle] Gradient flows for sampling and their deterministic interacting particle approximations / Author of the conference Slepčev, Dejan.
- [Multi angle] Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems / Author of the conference Savaré, Giuseppe.
- [Multi angle] Dynamics of strategic agents and algorithms as PDEs / Author of the conference Hoffmann, Franca.
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
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