Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation

被引：154

作者：

Hmidi, Taoufik ^{[1
]}

Keraani, Sahbi ^{[1
]}

Rousset, Frederic ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 09期

关键词：

Boussinesq system; Riesz transforms; Besov spaces; Paradifferential calculus; EQUATIONS;

D O I：

10.1016/j.jde.2010.07.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a fractional diffusion Boussinesq model which couples a Navier-Stokes type equation with fractional diffusion for the velocity and a transport equation for the temperature. We establish global well-posedness results with rough initial data. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2147 / 2174

页数：28

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