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A self-similar solution for spherically symmetric gravitational collapse
Authors:R. N. Antonova  Ya. M. Kazhdan
Affiliation:(1) Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Abstract:A model of gas-dynamical flow during gravitational collapse is analyzed mathematically by assuming its spherical symmetry and self-similarity. A shock wave diverging from the center emerges in this model. The physical requirements imposed on the post-shock flow at the center for the specified parameters at infinity unambiguously determine the shock front and the flow behind it.
Keywords:plasma astrophysics, hydrodynamics and shock waves  supernovae and supernova remnants
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