京师数学前沿论坛 第五十讲
京师数学前沿论坛
报告题目(Title)：Finite-Time Collapse of White Dwarfs Above the Chandrasekhar Mass
报告人(Speaker)：林治武教授 复旦大学
地点(Place)：后主楼1124
时间(Time)：2026年10月23日16:00-17:00
报告摘要
A white dwarf is supported against gravity by electron degeneracy pressure. The Chandrasekhar mass identifies a critical threshold in its equilibrium theory, raising a dynamical question: can a white dwarf whose mass exceeds this threshold collapse in finite time under a realistic equation of state?
In this talk, I will discuss a construction of collapsing solutions to the Euler–Poisson equations with the white-dwarf equation of state, for masses in an interval immediately above the Chandrasekhar mass. The solutions develop a Goldreich–Weber type collapsing core, connected through an outer layer to a moving physical vacuum boundary. This realizes the classical collapsing-core picture within a model that also describes the star’s low-density surface. I will explain why the core and surface obey different asymptotic laws, how they are joined in a single solution, and what the construction tells us about gravitational collapse near the Chandrasekhar threshold.
主讲人简介
林治武，北京大学学士、东京大学硕士、布朗大学博士。曾任美国佐治亚理工公司教授，2024年起任复旦大学教授、相辉学者，入选国家级高层次人才计划。主要研究偏微分方程、动力系统及其在数学物理中的应用，重点关注天体物理、流体力学与等离子体模型中的稳定性、失稳机制和长期动力学行为。
