报告题目 (Title)：粘性依赖密度的1维可压缩Navier-Stokes方程稀疏波的整体稳定性（Global stability of rarefaction waves for the 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity）
报告人 (Speaker)：陈正争 副教授 (安徽大学)
报告时间 (Time)：2021年11月21日(周日) 18:00
报告地点 (Place)：线上 腾讯会议 ID：547 232 675 密码： 6789
主办部门：理学院数学系
报告摘要： In this talk , I will present the global stability of rarefaction waves to the Cauchy problem of the one-dimensional (1D) compressible Navier-Stokes equations with degenerate density-dependent viscosity. If the initial data is assumed to be sufficiently regular, without vacuum and mass concentrations, and the pressure and the viscosity coefficient satisfy certain conditions, we proved that the Cauchy problem of the 1D compressible Navier-Stokes equations admits a unique global strong non-vacuum solution, which tends to the rarefaction waves as time goes to infinity. Here both the initial perturbation and the strength of the rarefaction waves can be arbitrarily large. The proof is established via a delicate energy method and the key ingredient in our analysis is to derive the uniform-in-time positive lower and upper bounds on the specific volume. This is a joint work with Prof. H.-J. Zhao.