On nonlinear instability of liquid Lane-Emden stars

发布时间：2023-08-31 作者：浏览次数：

Speaker:	缪爽	DateTime:	2023年9月1日（周五）上午11：00-12：00
Brief Introduction to Speaker: 缪爽，本科毕业于武汉大学，2019年全职回国，在数学与统计学院担任教授至今。曾获得2014年新世界数学奖博士论文银奖，2020年求是杰出青年学者奖。其研究领域是非线性双曲型偏微分方程的数学理论。		Place:	6号楼2楼报告厅
Abstract:In this talk I will present our recent work on dynamical nonlinear instability of liquid Lane-Emden stars in $\bbR^{3}$ whose adiabatic exponents take values in $[1,\frac43)$. Our proof relies on a priori estimates for the free boundary problem of a compressible self-gravitating liquid, as well as a quantitative analysis of the competition between the fastest linear growing mode and the source. This is joint work with Zeming Hao.