报告人：林渠远（Texas A&M University）
时 间：2021年3月23日上午 10:00-11:00
题目：3D Inviscid Primitive Equations with Rotation
腾讯会议：会议 ID：728 222 183
会议密码：112113
摘要：
Large scale dynamics of the oceans and the atmosphere are governed by the primitive equations (PEs). It is well-known that the viscous PEs are globally well-posed in Sobolev spaces. In this talk, I will discuss the ill-posedness in Sobolev spaces, the local well-posedness in the space of analytic functions, and finite-time blowup of solutions to the inviscid PEs with rotation (Coriolis force). Moreover, I will also show, in the case of ``well-prepared" analytic initial data, the regularizing effect of the Coriolis force by providing a lower bound for the life-span of the solutions that grows toward infinity with the rotation rate.