Stability of gravitational collapse
数学专题报告
报告题目(Title)：Stability of gravitational collapse
报告人(Speaker)：Matthew Schrecker (University of Bath)
地点(Place)：ZOOM ID: 848 372 23834 password: 559959
时间(Time)：2025年10月13日 （周一）16:00-17:00
邀请人(Inviter)：袁迪凡
报告摘要
In the Newtonian setting, a star is modelled as a spherically symmetric gas obeying the compressible Euler-Poisson system. In certain regimes, smooth initial data may give rise to blow-up solutions, corresponding to the collapse of a star under its own gravity, and such solutions have been rigorously constructed In recent years. In this talk, I will present the nonlinear stability of the simplest of these blow-up profiles, the Larson-Penston solution to the Euler-Poisson equations. This is based on joint works with Yan Guo, Mahir Hadzic, and Juhi Jang.
主讲人简介
Matthew Schrecker is currently the Prize Fellow in Fluid Dynamics at the University of Bath, UK, where he works on problems related to singular solutions in the theory of compressible fluids, primarily related to implosions and shock waves. More recently, Matthew has also been studying the phenomenon of gravitational Landau damping for the Vlasov-Poisson system.
Matthew received his DPhil from the University of Oxford in 2018 under the supervision of Professor Gui-Qiang Chen, working on the theory of compensated compactness applied to the compressible Euler equations. He then had postdocs at the University of Wisconsin-Madison and University College London before moving to Bath in 2023.
