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

doi:10.1016/j.jfa.2010.10.012

Journal of Functional Analysis

Volume 260, Issue 3, 15 February 2011, Pages 745-796

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Abstract

In this paper we prove the global well-posedness for the three-dimensional Euler–Boussinesq system with axisymmetric initial data without swirl. This system couples the Euler equation with a transport-diffusion equation governing the temperature.

Keywords

Axisymmetric flows

Global well-posedness

Harmonic analysis