Nonlinear Partial Differential Equations

Date: February 3, 2015

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Jinkai Li, Weizmann Institute of Science

Title: Nonlinear Partial Differential Equations Seminar

Abstract:

Title: "Some results on the primitive equations with partial dissipation"

Abstract:
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 Boussinesq and hydrostatic approximations. Generally the viscosities and diffusion for the ocean and atmosphere are anisotropic, and in particular, one or several of them may vanish. 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.