Global well-posedness for Euler-Boussinesq system with critical dissipation

Taoufik Hmidi (1) , Sahbi Keraani (2) , Frédéric Rousset (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LPP - Laboratoire Paul Painlevé - UMR 8524

In this paper we study a fractional diffusion Boussinesq model which couples the incompressible Euler equation for the velocity and a transport equation with fractional diffusion for the temperature. We prove global well-posedness results.

Domaines: Equations aux dérivées partielles [math.AP]

Taoufik Hmidi, Sahbi Keraani, Frédéric Rousset. Global well-posedness for Euler-Boussinesq system with critical dissipation. Communications in Partial Differential Equations, 2011, 36 (3), pp.420-445. ⟨10.1080/03605302.2010.518657⟩. ⟨hal-00605835⟩