On the global regularity of axisymmetric Navier-Stokes-Boussinesq system

Hammadi Abidi; Taoufik Hmidi; Sahbi Keraani

doi:10.3934/dcds.2011.29.737

Article Contents

2011, Volume 29, Issue 3: 737-756. Doi: 10.3934/dcds.2011.29.737

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On the global regularity of axisymmetric Navier-Stokes-Boussinesq system

1.
Faculté des Sciences de Tunis
2.
IRMAR, Université de Rennes 1, 35042 Rennes
3.
Laboratoire Paul Painlevé, 59655 Villeneuve d'Ascq

Received: November 30, 2009

Revised: April 30, 2010

Published: August 2011

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Abstract

In this paper we prove a global well-posedness result for tridimensional Navier-Stokes-Boussinesq system with axisymmetric initial data. This system couples Navier-Stokes equations with a transport equation governing the density.

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Mathematics Subject Classification: Primary: 35Q35; Secondary: 35B30, 76B03.

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References

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