Research-Justification of the PE diagram and singular limit

Research

Computational & Applied Math Seminar

Justification of the PE diagram and singular limit

Speaker: Xin Liu (Weierstrass Institute WIAS)
Time: Mar 16, 2021, 14:10-15:10
Location: Lecture Room 415, Block 3, Hui Yuan

I will introduce the PE diagram, which describe the asymptotic relations between compressible hydrodynamic equations, incompressible hydrodynamic equations, primitive equations, and compressible primitive equations. We will review current developments of the ocean scale, and introduce our contribution to the atmosphere scale in the PE diagram. In particular, our works of the well-posedness and asymptotic limits of the compressible primitive equations will fill the gaps in the PE diagram. We will detour to singular limit to illustrate the goal and tool in our study.