Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data

@inproceedings{Bournaveas2009CriticalMP,
  title={Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data},
  author={Nikolaos Bournaveas and Vincent Calvez},
  year={2009}
}
The goal of this paper is to exhibit a critical mass phenomenon occuring in a model for cell self-organization via chemotaxis. The very well known dichotomy arising in the behavior of the macroscopic Keller-Segel system is derived at the kinetic level, being closer to microscopic features. Indeed, under the assumption of spherical symmetry, we prove that… CONTINUE READING