Speaker.  Quyuan Lin, UC Santa Barbara

Title. 3D deterministic and stochastic inviscid primitive equations

Abstract. Large scale dynamics of the oceans and the atmosphere are governed by the primitive equations (PEs). While it is well-known that the PEs with full viscosity are globally well-posed in Sobolev spaces, the study of well-posedness of the inviscid PEs is more challenging. In this talk, I will first review some results on the deterministic inviscid PEs. Then I will discuss the differences and challenges in the stochastic case and show the existence of local martingale solutions and pathwise uniqueness. Finally I will discuss some interesting open problems.