Wellposedness of the Keller-Segel Navier-Stokes equations in the critical Besov spaces

Hi Jun Choe, Bataa Lkhagvasuren, Minsuk Yang

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We consider the Keller-Segel model coupled with the incompressible Navier-Stokes equations in dimension three. We prove the local in time existence of the solution for large initial data and the global in time existence of the solution for small initial data plus some smallness condition on the gravitational potential in the critical Besov spaces, which are new results for the model.

Original languageEnglish
Pages (from-to)2453-2464
Number of pages12
JournalCommunications on Pure and Applied Analysis
Volume14
Issue number6
DOIs
Publication statusPublished - 2015 Nov 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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