JournalsaihpcVol. 27, No. 5pp. 1227–1246

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

  • Taoufik Hmidi

    IRMAR, Université de Rennes 1, Campus de Beaulieu, 35 042 Rennes cedex, France

  • Frédéric Rousset

    IRMAR, Université de Rennes 1, Campus de Beaulieu, 35 042 Rennes cedex, France
Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data cover
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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 which may vanish.

Cite this article

Taoufik Hmidi, Frédéric Rousset, Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 5, pp. 1227–1246

DOI 10.1016/J.ANIHPC.2010.06.001