Blowup threshold and collapse mass separation for a drift-diffusion system in space-dimension two

Elio Espejo, Masaki Kurokiba, Takashi Suzuki

Research output: Journal PublicationArticlepeer-review

3 Citations (Scopus)

Abstract

We study a drift-diffusion system on bounded domain in twospace dimension. This model is provided with a hetero-separative and homoaggregative feature subject to a gradient of physical or chemical potential which is proportional to their densities. We extend a criterion of global-in-time existence of the solution, especially for non-radially symmetric case. Then we perform the blowup analysis such as the formation of collapses and collapse mass separations. A slightly different model describing cross chemotaxis is also discussed.

Original languageEnglish
Pages (from-to)2627-2644
Number of pages18
JournalCommunications on Pure and Applied Analysis
Volume12
Issue number6
DOIs
Publication statusPublished - Nov 2013
Externally publishedYes

Keywords

  • Blowup threshold
  • Chemotaxis
  • Drift-diffusion model
  • Formation of collapse
  • Mass separation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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