English
Global existence and boundedness for chemotaxis models with local sensing
Multi angle
Auteurs : Laurençot, Philippe (Auteur de la Conférence)
CIRM (Editeur )
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
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/3049/Slides/Philippe_Laurencot.pdf
CIRM (Editeur )
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Résumé :
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
Codes MSC : 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
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/3049/Slides/Philippe_Laurencot.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 30/04/2024 Date de captation : 09/04/2024 Sous collection : Research School arXiv category : Analysis of PDEs Domaine : PDE Format : MP4 (.mp4) - HD Durée : 00:43:31 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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Informations sur la Rencontre
Nom de la rencontre : Aggregation-Diffusion Equations & Collective Behavior: Analysis, Numerics and Applications / Conférence Chaire Jean Morlet: Equations d'agrégation-diffusion et comportement collectif: Analyse, schémas numériques et applicationsOrganisateurs de la rencontre : Carrillo, José Antonio ; Esposito, Antonio ; Gómez-Castro, David ; Nouri, Anne Dates : 08/04/2024 - 12/04/2024 Année de la rencontre : 2024 URL Congrès : https://conferences.cirm-math.fr/3049.html
Données de citation
DOI : 10.24350/CIRM.V.20159903Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] Suppression of chemotactic blow-up by buoyancy / Auteur de la Conférence Yao, Yao.
- [Multi angle] Gradient flows for sampling and their deterministic interacting particle approximations / Auteur de la Conférence Slepčev, Dejan.
- [Multi angle] Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems / Auteur de la Conférence Savaré, Giuseppe.
- [Multi angle] Dynamics of strategic agents and algorithms as PDEs / Auteur de la Conférence Hoffmann, Franca.
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
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