STAR DYNAMICS: COLLAPSE VS. EXPANSION

被引：1
|
作者：
Hadzic, Mahir [1 ]
机构：
[1] UCL, Dept Math, London WC1H 0AY, England
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2023年 / 81卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
GLOBAL SMOOTH SOLUTIONS; INITIAL-VALUE PROBLEM; GRAVITATIONAL COLLAPSE; NONLINEAR STABILITY; NAKED SINGULARITIES; EULER EQUATIONS; COSMIC CENSORSHIP; SELF-SIMILARITY; WELL-POSEDNESS; EXISTENCE;
D O I：
10.1090/qam/1638
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review a series of recent results on global dynamic properties of radially symmetric self-gravitating compressible Euler flows, which naturally arise in the mathematical description of stars. We focus on the role of scaling invariances and how they interact with nonlinearities to generate imploding finite-time singularities as well as expanding star solutions, arising from smooth initial data. This review paper is based on joint works with Y. Guo, J. Jang, and M. Schrecker.
引用
收藏
页码：329 / 365
页数：37
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