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学术讲座 Lecture

【21.3.23 10:00-11:00】学术报告---林渠远(Texas A&M University)

2021-03-22 11:13:35 来源:学术报告---林渠远 点击: 收藏本文

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.