报告人：刘欣博士（Freie Universitaet Berlin）
时 间：2019年12月17日下午16：30-17:30
地点：华南数学应用与交叉研究中心学术报告厅111
题目：Second law of thermodynamics and bounded entropy solutions in the compressible Navier-Stokes system
摘要：
Our goal is to investigate the existence of global-in-time solutions with bounded entropy to the compressible Navier-Stokes system. Previous study of Cauchy problems motivates the free boundary problem, where the flows connect to vacuum with continuous density on the moving boundary. We mainly focus on the spherically symmetric solutions. Two results will be presented.
1. Global solutions to isentropic flows with or without density jump on the moving boundary;
2. A class of self-similar solutions are presented, and the bounded entropy solutions are obtained with initial data perturbed around such self-similar data.
个人简介：
2017年博士毕业于香港中文大学. 2017年--2019年于 Texas A&M 任博士后/Visiting assistant professor. 现为 Freie Universitaet Berlin 博士后. 专业方向: 流体方程. 应用范围: well-posedness of compressible Navier-Stokes system; asymptotic stability; well-posedness of geophysics equations; asymptotic limits, etc.