中科院数学与系统科学研究院
数学研究所
调和分析及其应用研究中心
学术报告
调和分析和偏微分方程研讨班
报告人:曾惠慧(清华大学)
题 目:Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
时 间:2023.03.14(星期二)16:00-17:00
地 点:数学院南楼 N913
摘 要:In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability conditions, a priori estimates of Sobolev norms and the bounds for geometric quantities of the free surface are given. I will compare the isentropic and non-isentropic cases for the different considerations. The talk is based on the recent joint work with T. Luo and K. Trivisa.