An extension criterion for the local in time solution of the chemotaxis Navier–Stokes equations in the critical Besov spaces

Hi Jun Choe; Bataa Lkhagvasuren

doi:10.1007/s11565-016-0265-8

An extension criterion for the local in time solution of the 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

6 Citations (Scopus)

Abstract

We consider the Keller–Segel model coupled with the incompressible Navier–Stokes equations in the dimension three. Based on the wellposedness result in the critical Besov spaces, we present a result on the extension criterion for the local in time solution in the same functional setting, which is a new result for the model.

Original language	English
Pages (from-to)	277-288
Number of pages	12
Journal	Annali dell'Universita di Ferrara
Volume	63
Issue number	2
DOIs	https://doi.org/10.1007/s11565-016-0265-8
Publication status	Published - 2017 Nov 1

Bibliographical note

Funding Information:
Acknowledgements We express our sincere gratitude for very helpful and constructive comments of the reviewer. This work was supported by NRF under the grant 20151002708.

Publisher Copyright:
© 2016, Università degli Studi di Ferrara.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s11565-016-0265-8

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abstract = "We consider the Keller–Segel model coupled with the incompressible Navier–Stokes equations in the dimension three. Based on the wellposedness result in the critical Besov spaces, we present a result on the extension criterion for the local in time solution in the same functional setting, which is a new result for the model.",

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AU - Lkhagvasuren, Bataa

N1 - Funding Information: Acknowledgements We express our sincere gratitude for very helpful and constructive comments of the reviewer. This work was supported by NRF under the grant 20151002708. Publisher Copyright: © 2016, Università degli Studi di Ferrara.

PY - 2017/11/1

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N2 - We consider the Keller–Segel model coupled with the incompressible Navier–Stokes equations in the dimension three. Based on the wellposedness result in the critical Besov spaces, we present a result on the extension criterion for the local in time solution in the same functional setting, which is a new result for the model.

AB - We consider the Keller–Segel model coupled with the incompressible Navier–Stokes equations in the dimension three. Based on the wellposedness result in the critical Besov spaces, we present a result on the extension criterion for the local in time solution in the same functional setting, which is a new result for the model.

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An extension criterion for the local in time solution of the chemotaxis Navier–Stokes equations in the critical Besov spaces

Abstract

Bibliographical note

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