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

Hi Jun Choe; Bataa Lkhagvasuren

doi:10.1016/j.jmaa.2016.09.050

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

Hi Jun Choe, Bataa Lkhagvasuren

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 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 language	English
Pages (from-to)	1415-1426
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	446
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2016.09.050
Publication status	Published - 2017 Feb 15

Bibliographical note

Funding Information:
This work was supported by NRF under the grant 20151002708 . The authors would like to thank the anonymous reviewer for his/her valuable comments and suggestions to improve the quality of the paper.

Publisher Copyright:
© 2016 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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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.",

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note = "Funding Information: This work was supported by NRF under the grant 20151002708 . The authors would like to thank the anonymous reviewer for his/her valuable comments and suggestions to improve the quality of the paper. Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

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N2 - 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.

AB - 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.

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

Abstract

Bibliographical note

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