English

Concentration phenomena in a diffusive aggregation model

Analysis of PDEs 2020-01-20 v1

Abstract

We consider the drift-diffusion equation utεΔu+(uKu)=0 u_t-\varepsilon \Delta u+\nabla\cdot(u\nabla K\star u)=0 in the whole space with global-in-time bounded solutions. Mass concentration phenomena for radially symmetric solutions of this equation with small diffusivity are studied.

Keywords

Cite

@article{arxiv.2001.06218,
  title  = {Concentration phenomena in a diffusive aggregation model},
  author = {Piotr Biler and Alexandre Boritchev and Grzegorz Karch and Philippe Laurençot},
  journal= {arXiv preprint arXiv:2001.06218},
  year   = {2020}
}
R2 v1 2026-06-23T13:13:47.931Z