Traveling waves with continuous profile for hyperbolic Keller-Segel equation - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Traveling waves with continuous profile for hyperbolic Keller-Segel equation

Pierre Magal
  • Fonction : Auteur
  • PersonId : 1092734
Min Zhao
  • Fonction : Auteur
  • PersonId : 1413988

Résumé

This work describes a hyperbolic model for cell-cell repulsion with population dynamics. We consider the pressure produced by a population of cells to describe their motion. We assume that cells try to avoid crowded areas and prefer locally empty spaces far away from the carrying capacity. Here, our main goal is to prove the existence of traveling waves with continuous profiles. This article complements our previous results about sharp traveling waves. We conclude the paper with numerical simulations of the PDE problem, illustrating such a result.

Dates et versions

hal-04693111 , version 1 (10-09-2024)

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Quentin Griette, Pierre Magal, Min Zhao. Traveling waves with continuous profile for hyperbolic Keller-Segel equation. 2024. ⟨hal-04693111⟩
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