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

Taoufik Hmidi (1) , Frédéric Rousset (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Mots clés: Axisymmetric flows; Global well-posedness; Harmonic analysis

Domaines: Equations aux dérivées partielles [math.AP]

Taoufik Hmidi, Frédéric Rousset. Global well-posedness for the Euler-Boussinesq system with axisymmetric data. Journal of Functional Analysis, 2011, 260 (3), pp.745-796. ⟨10.1016/j.jfa.2010.10.012⟩. ⟨hal-00547709⟩