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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.

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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



  • 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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