调和分析和偏微分方程研讨班：Uniform regularity in the low Mach number and the inviscid limits for the non-isentropic compressible Navier-Stokes system in domains with boundaries

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：CHANGZHEN SUN (Université de Toulouse)

题  目：Uniform regularity in the low Mach number and the inviscid limits for the non-isentropic compressible Navier-Stokes system in domains with boundaries

时  间：2022.09.07（星期三）16:00-17:00

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

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

摘  要：In this talk, we are concerned with the propagation of the regularity for the non-isentropic Navier-Stokes system in a domain with boundaries, uniformly in the Mach number and the Reynolds number, in a general setting of ill-prepared data. This is an essential step towards the study of the low Mach number and the inviscid limit for strong solutions. The main obstacle to estabilish such uniform regularity estimates lie in the existence of fast oscillating ocoustic waves (due to the ill-prepared assumption) and the interactions of two kinds of boundary layers (due to the large time temperature variation and the non-vanishing thermal conductivity).