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

Hi Jun Choe, Bataa Lkhagvasuren, Minsuk Yang

Research output: Contribution to journalArticle

9 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 Jan 1

Fingerprint

Besov Spaces
Well-posedness
Navier Stokes equations
Navier-Stokes Equations
Keller-Segel Model
Incompressible Navier-Stokes Equations
Three-dimension
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Wellposedness of the Keller-Segel Navier-Stokes equations in the critical Besov spaces. / Choe, Hi Jun; Lkhagvasuren, Bataa; Yang, Minsuk.

In: Communications on Pure and Applied Analysis, Vol. 14, No. 6, 01.01.2015, p. 2453-2464.

Research output: Contribution to journalArticle

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