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NUMBER  
AUTHOR Jang, Juhi
TITLE Larson-Penston Self-similar Gravitational Collapse
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JOURNAL COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021
ABSTRACT Using numerical integration, in 1969 Penston (MonNot RAstr 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 rho, k > 0, and subject to Newtonian gravity. We rigorously prove the existence of such a Larson-Penston solution.
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