On the global well-posedness of 3-D Boussinesq system with partial viscosity and axisymmetric data

Saoussen Sokrani

doi:10.3934/dcds.2019072

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2019, Volume 39, Issue 4: 1613-1650. Doi: 10.3934/dcds.2019072

This issue Previous Article Next Article Asymptotic limit and decay estimates for a class of dissipative linear hyperbolic systems in several dimensions

On the global well-posedness of 3-D Boussinesq system with partial viscosity and axisymmetric data

Saoussen Sokrani

Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El Manar 2092 Tunis, Tunisia

Received: May 31, 2017

Revised: May 31, 2018

Published: January 2019

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Abstract

In this paper we prove the global well-posedness for the Three dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier-Stokes equation with vanishing the horizontal viscosity with a transport-diffusion equation governing the temperature.

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Mathematics Subject Classification: 35Q30, 76D03.

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