Abstract:
The motion of the large-scale atmospheric and oceanic flows is governed by the primitive equations (PEs), which are derived from the Navier-Stokes equations by using the Boussinesq and hydrostatic approximations. The strong horizontal turbulent mixing, which creates the horizontal eddy viscosity, leads us to consider the PEs with horizontal viscosity. It will be shown that the 3D PEs with horizontal viscosity admits a unique global strong solution, for arbitrary sufficient smooth initial data, as long as one still has the horizontal or vertical thermal diffusivity. These are joint works with Chongsheng Cao and Edriss S. Titi.
Biography:
Jinkai Li is Research Assistant Professor at The Chinese University of Hong Kong. He got Ph.D. in 2013 at The Chinese University of Hong Kong. After the Ph.D., he spent three years in Weizmann Institute of Science as Postdoc. His research fields include liquid crystals, geophysical flows, compressible Navier-Stokes equations, etc.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai