报告题目：Rigorous Justification of the Hydrostatic Approximation from Navier-Stokes Equations to Primitive Equations

报告简介：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.

报告人：李进开，华南师范大学数学科学学院研究员，博士生导师。2018年入选“国家海外高层次人才引进计划”青年项目，曾获得“2020世界华人数学家联盟最佳论文奖”金奖（2020 ICCM Best Paper Award）以及“第二届中国科协优秀科技论文”奖。目前已在包括CPAM, Adv. Math, JFA, ARMA, CPDE, SIMA等国际学术期刊上发表SCI论文近40篇。

报告时间：2022年4月12日（星期二）上午 9:00-11:00.

报告地点：腾讯会议，ID：877-987-431

主办单位：扬州大学数学科学学院

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