中科院数学与系统科学研究院

数学研究所

学术报告

调和分析和偏微分方程研讨班

报告人：WANG Chao (Peking University)

题  目：Zero-viscosity limit of the Navier-Stokes equations in thin domain

时  间：2022.07.05（星期二）17:00-18:00

地  点：Zoom ID: 924 888 5804  Passcode: AMSS2022

https://us06web.zoom.us/j/9248885804?pwd=OXg2VDhBT0pxRkd1Z3RJS0NFMnRDdz09

摘  要： In this talk, we talk about the hydrostatic approximation for the Navier-Stokes system in a thin domain. When the convex initial data with Gevrey regularity of optimal index 32 in x variable and Sobolev regularity in y variable, we justify the limit from the anisotropic Navier-Stokes system to the hydrostatic Navier-Stokes /Prandtl system. Due to our method in the paper is independent of ε, by the same argument, we also get the hydrostatic Navier-Stokes/Prandtl system is well-posedness in the optimal Gevrey space.