Global existence result for chemotaxis Navier–Stokes equations in the critical Besov spaces

Hi Jun Choe, Bataa Lkhagvasuren

Research output: Contribution to journal › Article

8 Citations (Scopus)

Abstract

We consider the chemotaxis Navier–Stokes equations which are the Keller–Segel model coupled to the incompressible Navier–Stokes equations in dimension three. We prove the global existence of the solution in the critical Besov spaces with small initial data only, which is a new result and improves the previous result.

Original languageEnglish
Pages (from-to)1415-1426
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume446
Issue number2
DOIs
Publication statusPublished - 2017 Feb 15

Fingerprint

Chemotaxis
Besov Spaces
Global Existence
Existence Results
Navier-Stokes Equations
Incompressible Navier-Stokes
Coupled Model
Three-dimension

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Choe, Hi Jun ; Lkhagvasuren, Bataa. / Global existence result for chemotaxis Navier–Stokes equations in the critical Besov spaces. In: Journal of Mathematical Analysis and Applications. 2017 ; Vol. 446, No. 2. pp. 1415-1426.
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Choe, HJ & Lkhagvasuren, B 2017, 'Global existence result for chemotaxis Navier–Stokes equations in the critical Besov spaces', Journal of Mathematical Analysis and Applications, vol. 446, no. 2, pp. 1415-1426. https://doi.org/10.1016/j.jmaa.2016.09.050

Global existence result for chemotaxis Navier–Stokes equations in the critical Besov spaces. / Choe, Hi Jun; Lkhagvasuren, Bataa.

In: Journal of Mathematical Analysis and Applications, Vol. 446, No. 2, 15.02.2017, p. 1415-1426.

Research output: Contribution to journal › Article

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AU - Lkhagvasuren, Bataa

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Choe HJ, Lkhagvasuren B. Global existence result for chemotaxis Navier–Stokes equations in the critical Besov spaces. Journal of Mathematical Analysis and Applications. 2017 Feb 15;446(2):1415-1426. https://doi.org/10.1016/j.jmaa.2016.09.050

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