Reaction terms avoiding aggregation in slow fluids

Elio Espejo, Takashi Suzuki

Research output: Journal PublicationArticlepeer-review

64 Citations (Scopus)

Abstract

We propose a new mathematical model describing the fertilization process of corals and some other invertebrates. As a result we obtain a Keller-Segel system with reaction terms coupled with a Stokes equation. We prove in dimension two that independently of the size of |ρ0| L1, there exist global weak solutions. Finally we discuss some open problems arising from our research.

Original languageEnglish
Pages (from-to)110-126
Number of pages17
JournalNonlinear Analysis: Real World Applications
Volume21
Issue number1
DOIs
Publication statusPublished - Feb 2015
Externally publishedYes

Keywords

  • Chemotaxis
  • Drift-diffusion model
  • Fluids
  • Keller-Segel
  • Reaction terms
  • Stokes equations

ASJC Scopus subject areas

  • Analysis
  • Engineering (all)
  • Economics, Econometrics and Finance (all)
  • Computational Mathematics
  • Applied Mathematics

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