Speaker：Jinkai Li (South China Normal University)

Time：2023-4-17, 15:00-16:00

Location：Tencent Meeting ID：919-294-685（No Password）

Abstract:

In this talk, we will present some recent results on the well-posedness of the coupled system of the primitive equations with the moisture system for the warm cloud. Multi-phases and phase changes are taken into consideration and both the simplified case and the thermodynamically refined case will be considered. For the simplified case, we assume that the dry air and water vaper have the same gas constants and heat capacities and ignore the heat capacity of the liquid water. Some results rigorously justifying the hydrostatic approximation from the Navier-Stokes equations to the primitive equations in both the frameworks of strong solutions and z-weak solutions will also be presented.