Larson-Penston自相似引力坍缩
Larson-Penston Self-similar Gravitational Collapse
摘要：
1969年，Penston [22]和Larson [17]利用数值积分独立地发现了一个自相似解，该解描述了具有等温状态方程$p=k\varrho$、$k>0$的自引力渐近平坦流体的坍缩，并受到牛顿引力的影响。我们严格证明了这样的Larson-Penston解的存在性。
英文摘要：
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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