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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)277-288
Number of pages12
JournalAnnali dell'Universita di Ferrara
Volume63
Issue number2
DOIs
Publication statusPublished - 2017 Nov 1

Fingerprint

Chemotaxis
Besov Spaces
Navier-Stokes Equations
Incompressible Navier-Stokes
Coupled Model
Well-posedness
Three-dimension
Model

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

@article{83f215222a574179b295c19deab29132,
title = "An extension criterion for the local in time solution of the chemotaxis Navier–Stokes equations in the critical Besov spaces",
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.",
author = "Choe, {Hi Jun} and Bataa Lkhagvasuren",
year = "2017",
month = "11",
day = "1",
doi = "10.1007/s11565-016-0265-8",
language = "English",
volume = "63",
pages = "277--288",
journal = "Annali dell'Universita di Ferrara",
issn = "0430-3202",
publisher = "Springer-Verlag Italia",
number = "2",

}

An extension criterion for the local in time solution of the chemotaxis Navier–Stokes equations in the critical Besov spaces. / Choe, Hi Jun; Lkhagvasuren, Bataa.

In: Annali dell'Universita di Ferrara, Vol. 63, No. 2, 01.11.2017, p. 277-288.

Research output: Contribution to journalArticle

TY - JOUR

T1 - An extension criterion for the local in time solution of the chemotaxis Navier–Stokes equations in the critical Besov spaces

AU - Choe, Hi Jun

AU - Lkhagvasuren, Bataa

PY - 2017/11/1

Y1 - 2017/11/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84991373446&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84991373446&partnerID=8YFLogxK

U2 - 10.1007/s11565-016-0265-8

DO - 10.1007/s11565-016-0265-8

M3 - Article

AN - SCOPUS:84991373446

VL - 63

SP - 277

EP - 288

JO - Annali dell'Universita di Ferrara

JF - Annali dell'Universita di Ferrara

SN - 0430-3202

IS - 2

ER -