论文标题

Larson-Penston自相似重力崩溃

Larson-Penston Self-similar Gravitational Collapse

论文作者

Guo, Yan, Hadzic, Mahir, Jang, Juhi

论文摘要

使用数值集成,1969年,Penston [22]和Larson [17]独立地发现了一种自相似的解决方案,描述了与状态的等温方程$ p = k \ varrho $,$ k> 0 $的渐进式平坦流体的崩溃,并受牛顿雷神。我们严格地证明了这种Larson-Penston解决方案的存在。

Using numerical integration, in 1969 Penston [22] and Larson [17] independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state $p=k\varrho$, $k>0$, and subject to Newtonian gravity. We rigorously prove the existence of such a Larson-Penston solution.

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