Speaker:Niu, Dongjuan (Department of Mathematics (IMECC), Capital Normal University, China)
Title:Coupled boundary layers for the primitive equations of atmosphere.
Abstract: In this talk I will discuss the boundary layers problems of the primitive equations of atmosphere. It is proved that, for well-prepared initial data, the smooth solutions of the primitive equations converge to smooth solutions of quasi-geostrophic equations as the Rossby number, the vertical viscosity and the vertical heat conductivity tend to zero. The new ingredient is that the velocity boundary layer and thermal layer are considered simultaneously.