Report title: Global well-posedness of the anisotropic primitive equations
Reporter: Li Jinkai, Researcher, South China Normal University
Reporting time: 14:00-15:00, December 4, 2020
Report location: Tencent Conference ID: 517 247 158 Password: 201203
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https://meeting.tencent.com/s/KsLiWvWuKaVO
School contact: Guo Bin bguo@jlu.edu.cn
Report summary:
The motion of the large-scale atmospheric and oceanic flows is governed by the primitive equations (PEs), which are derived from the Navier-Stokes equations by using the Boussinesq and hydrostatic approximations. The strong horizontal turbulent mixing, which creates the horizontal eddy viscosity, leads us to consider the PEs with horizontal viscosity. It will be shown that the 3D PEs with horizontal viscosity admits a unique global strong solution, for arbitrary sufficient smooth initial data, as long as one still has the horizontal or vertical thermal diffusivity. These are joint works with Chongsheng Cao and Edriss S. Titi.
Brief introduction of the speaker: Li Jinkai, male, PhD, researcher, and doctoral supervisor. In 2013, he graduated from the Institute of Mathematics, Chinese University of Hong Kong with a Ph.D. and his supervisor is Professor Xin Zhouping. From August 2013 to July 2016, he worked as a postdoctoral researcher at the Weizmann Institute of Science in Israel. The co-supervisor was Professor Edriss S. Titi. From August 2016 to July 2018, he was a research assistant professor in the Department of Mathematics, The Chinese University of Hong Kong. , Since August 2018, he has been a researcher at the South China Center for Mathematics Applications and Intersection Research, South China Normal University. The main research direction is fluid dynamics partial differential equations, including atmospheric ocean dynamics equations, compressible Navier-Stokes equations, etc. The related results have been published in CPAM, ARMA, CPDE, and JFA and other journals, and were selected as the 14th batch of countries Selected for major talent project.
