恒星动力学:坍缩vs膨胀

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2022-11-17 DOI:10.1090/qam/1638

Mahir Hadžić

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引用次数: 1

摘要

我们回顾了最近关于径向对称自引力可压缩欧拉流全局动力学特性的一系列结果，这些结果自然出现在恒星的数学描述中。我们专注于尺度不变量的作用，以及它们如何与非线性相互作用，以生成内爆有限时间奇点以及由平滑初始数据产生的膨胀恒星解。本文基于郭、张和施雷克的共同研究成果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Star dynamics: Collapse vs. expansion

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.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.