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

Taoufik Hmidi, Frédéric Rousset

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)1227-1246
Number of pages20
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume27
Issue number5
DOIs
StatePublished - 2010

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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