Global Well-posedness of Strong Solutions to the 3D Primitive Equations   with Horizontal Eddy Diffusivity
  In this paper, we consider the initial-boundary value problem of the 3D primitive equations for oceanic and atmospheric dynamics with only horizontal diffusion in the temperature equation. Global well-posedness of strong solutions are established with $H^2$ initial data. 
Chongsheng Cao, Jinkai Li and Edriss S. Titi
math.AP physics.ao-ph physics.flu-dyn physics.geo-ph