Local Stability to the Einstein-Euler System in Schwarzschild Space-time

• 作者: Jun WU Bo-ling GUO
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2022,（2）
• 页码范围: 352-367
• 页数: 16页
• 语种: 英文

摘要

We study the Schwarzschild spacetime solutions to the Einstein-Euler equations.In our analysis,we aim to show local stability under small perturbations.To resolve this problem,we use the Nash-Moser(-Hamilton)theorem.The work was originally developed for the nonrelativistic Euler-Poisson equations.