报告题目：3D Inviscid Primitive Equations with Rotation

报 告 人：林渠远 访问助理教授（University of California, Santa Barbara）

报告时间：2022年4月12日   11:00-12:00

报告地点：腾讯会议（894273940）

报告摘要：

Large scale dynamics of the oceans and the atmosphere are governed by the primitive equations (PEs), which are derived from the Navier-Stokes equations or Boussinesq equations. 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.

报告人简介：

林渠远博士，毕业于美国得克萨斯农工大学（TAMU），现为加利福尼亚大学圣塔芭芭拉分校（UCSB）访问助理教授。主要研究领域为流体力学上的偏微分方程。目前在Arch. Ration. Mech. Anal, J. Differ. Equ，J. Math. Fluid Mech.等国际期刊发表多篇论文。