On the global regularity of axisymmetric Navier-Stokes-Boussinesq system

Hammadi Abidi (1) , Taoufik Hmidi (2) , Sahbi Keraani (3)

1 Département de mathématiques [Tunis]
2 IRMAR - Institut de Recherche Mathématique de Rennes
3 LPP - Laboratoire Paul Painlevé - UMR 8524

In this paper we prove a global well-posedness result for tridimensional Navier-Stokes-Boussinesq system with axisymmetric initial data. This system couples Navier-Stokes equations with a transport equation governing the density

Mots clés: Axisymmetric Boussinesq system; global well-posedness; flow map

Domaines: Equations aux dérivées partielles [math.AP]

Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani. On the global regularity of axisymmetric Navier-Stokes-Boussinesq system. Discrete and Continuous Dynamical Systems - Series S, 2011, 29 (3), pp.737-756. ⟨10.3934/dcds.2011.29.737⟩. ⟨hal-00548739⟩