Title: Some recent developments on the primitive equations with partial dissipation
The primitive equations form a fundamental block in the models of oceanic and
atmospheric dynamics. They are derived from the Navier-Stokes equations by applying the
Boussinisq and hydrostatic approximations. Generally the viscosities and diffusion for the ocean and atmosphere are anisotropic. In this talk, I will talk about the global well-posedness of strong solutions to the primitive equations with only partial dissipation. These are joint works with Chongsheng Cao and Edriss S. Titi.