Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation

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

1 IRMAR - Institut de Recherche Mathématique de Rennes

Mots clés: Boussinesq system; Riesz transforms; Besov spaces; Paradifferential calculus

Domaines: Equations aux dérivées partielles [math.AP]

Taoufik Hmidi, Sahbi Keraani, Frédéric Rousset. Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation. Journal of Differential Equations, 2010, 249 (9), pp.2147-2174. ⟨10.1016/j.jde.2010.07.008⟩. ⟨hal-00536365⟩