The global well-posedness and global attractor for the solutions to the   2D Boussinesq system with variable viscosity and thermal diffusivity
  Global well-posedness of strong solutions and existence of the global attractor to the initial and boundary value problem of 2D Boussinesq system in a periodic channel with non-homogeneous boundary conditions for the temperature and viscosity and thermal diffusivity depending on the temperature are proved. 
Aimin Huang
math.AP