线上学术报告

Title: Rigorous Justification of the Hydrostatic Approximation from Navier-Stokes Equations to Primitive Equations

Speaker: 李进开教授（华南师范大学）

Abstract

The hydrostatic approximation, which can be formally derived as small aspect ratio (the ratio of the vertical scale to the horizontal scale) limit, is a fundamental assumption in the geophysics and in particular for the large scale ocean and atmospheric dynamics. In spite of its importance and believed to be accurate in the geophysics, the rigorous justification is only proved before in the framework of weak solutions. In this talk we provide a justification of the hydrostatic approximation in the frameworks of both strong solutions and $z$-weak solutions and at the same time get the convergence rate. Both the isotropic case (that is with viscosities in all directions) and anisotropic cases (with viscosities in the horizontal directions only) will be considered.

北京时间：2022年4月22日（周五）下午13:30—14:30

线上参加：#腾讯会议 286-383-073

联系人：牛冬娟

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