報告題目：Zero-viscosity limit of the Navier-Stokes equations in thin domain

報告人：王超

報告時間：2023年5月21日9:15-9:50

報告地點：數(shù)學(xué)與統(tǒng)計學(xué)院四樓會議室

報告摘要：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 3/2 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 or Euler system. Due to our method in the paper is independent of viscous coefficient, by the same argument, we also get the hydrostatic Navier-Stokes/Prandtl system is well-posedness in the optimal Gevrey space.

報告人簡介：王超，北京大學(xué)數(shù)學(xué)科學(xué)學(xué)院研究員，博士畢業(yè)于中科院數(shù)學(xué)院，曾在巴黎第七大學(xué)從事博士后研究工作。研究興趣為流體力學(xué)方程組，主要集中在水波方程，可壓縮N-S方程等方向，相關(guān)成果發(fā)表在Comm. Pure Appl. Math., Mem.Amer.Math.Soc., Arch.Ration.Mech.Anal.等國際著名數(shù)學(xué)期刊上。