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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:249

Article

Hmidi, Taoufik¹  Keraani, Sahbi¹  Rousset, Frederic¹ 

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

关键词: Boussinesq system;    Riesz transforms;    Besov spaces;    Paradifferential calculus;   

DOI  :  10.1016/j.jde.2010.07.008

来源: Elsevier

【 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.

【 授权许可】

Free