Seminar
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| Location: | SLMath: Online/Virtual |
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Effect of the Rotation on the Inviscid Primitive Equations for Planetary Geophysical Flows
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Abstract:
Large scale dynamics of the oceans and the atmosphere are commonly governed by the primitive equations (PEs), also known as Hydrostatic Euler Equations. While it is by now well-known that the 3D viscous primitive equations are globally well-posed in Sobolev spaces, my talk will solely focus on the invisicd case. First, I will briefly discuss the ill posedness in Sobolev spaces, the local well-posedness in the space of analytic functions, and finite-time blowup of solution to the 3D inviscid PEs with rotation (Coriolis force). Then 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. These are joint works with T. E. Ghoul, Q. Lin and E. S. Titi.