Using numerical integration, in 1969 Penston (Mon Not R Astr Soc 144:425–448, 1969) and Larson (Mon Not R Astr Soc 145:271–295, 1969) 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.

中文翻译：

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Larson-Penston 自相似引力坍缩

使用数值积分，在 1969 年 Penston (Mon Not R Asr Soc 144:425–448, 1969) 和 Larson (Mon Not R Asr Soc 145:271–295, 1969) 独立发现了一个描述自我崩溃的自相似解- 具有等温状态方程\(p=k\varrho \) , \(k>0\)并受牛顿引力影响的渐近平坦流体。我们严格证明了这种拉森-彭斯顿解的存在。