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

被引：75

作者：

Hmidi, Taoufik ^{[1
]}

Rousset, Frederic ^{[1
]}

机构：

[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2010年 / 27卷 / 05期

关键词：

EQUATIONS; WELLPOSEDNESS; REGULARITY; EXISTENCE; FLOWS;

D O I：

10.1016/j.anihpc.2010.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 kappa >= 0 which may vanish. (C) 2010 Elsevier Masson SAS. All rights reserved.

引用

页码：1227 / 1246

页数：20

共 28 条

[1] On the global well-posedness for Boussinesq system [J].