Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data

Taoufik Hmidi; Frédéric Rousset

doi:10.1016/j.anihpc.2010.06.001

Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data

Taoufik Hmidi, Frédéric Rousset

Mathematics

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

Abstract

In this paper we prove the global well-posedness for a three-dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier-Stokes equation with a transport-diffusion equation governing the temperature. Our result holds uniformly with respect to the heat conductivity coefficient κ≥0 which may vanish.

Original language	English (US)
Pages (from-to)	1227-1246
Number of pages	20
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	27
Issue number	5
DOIs	https://doi.org/10.1016/j.anihpc.2010.06.001
State	Published - 2010

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

Access to Document

10.1016/j.anihpc.2010.06.001

Cite this

@article{6951b42292554b5db83249798871518a,

title = "Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data",

abstract = "In this paper we prove the global well-posedness for a three-dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier-Stokes equation with a transport-diffusion equation governing the temperature. Our result holds uniformly with respect to the heat conductivity coefficient κ≥0 which may vanish.",

author = "Taoufik Hmidi and Fr{\'e}d{\'e}ric Rousset",

year = "2010",

doi = "10.1016/j.anihpc.2010.06.001",

language = "English (US)",

volume = "27",

pages = "1227--1246",

journal = "Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire",

issn = "0294-1449",

publisher = "European Mathematical Society Publishing House",

number = "5",

}

TY - JOUR

T1 - Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data

AU - Hmidi, Taoufik

AU - Rousset, Frédéric

PY - 2010

Y1 - 2010

N2 - In this paper we prove the global well-posedness for a three-dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier-Stokes equation with a transport-diffusion equation governing the temperature. Our result holds uniformly with respect to the heat conductivity coefficient κ≥0 which may vanish.

AB - In this paper we prove the global well-posedness for a three-dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier-Stokes equation with a transport-diffusion equation governing the temperature. Our result holds uniformly with respect to the heat conductivity coefficient κ≥0 which may vanish.

UR - http://www.scopus.com/inward/record.url?scp=77956478455&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956478455&partnerID=8YFLogxK

U2 - 10.1016/j.anihpc.2010.06.001

DO - 10.1016/j.anihpc.2010.06.001

M3 - Article

AN - SCOPUS:77956478455

SN - 0294-1449

VL - 27

SP - 1227

EP - 1246

JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 5

ER -

Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this