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

Taoufik Hmidi, Sahbi Keraani, Frédéric Rousset

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2147-2174
Number of pages28
JournalJournal of Differential Equations
Volume249
Issue number9
DOIs
StatePublished - Nov 2010

Keywords

  • Besov spaces
  • Boussinesq system
  • Paradifferential calculus
  • Riesz transforms

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation'. Together they form a unique fingerprint.

Cite this