Global well-posedness for a Boussinesq- Navier-Stokes System with critical dissipation
arXiv:0904.1536
Abstract
In this paper we study a fractional diffusion Boussinesq model which couples a Navier-Stokes type equation with fractional diffusion for the velocity and a transport equation for the temperature. We establish global well-posedness results with rough initial data.
25 pages