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Spherically symmetric escape of a self-gravitating ideal gas into a vacuum - MaRDI portal

Spherically symmetric escape of a self-gravitating ideal gas into a vacuum (Q1892387)

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scientific article; zbMATH DE number 764195
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Spherically symmetric escape of a self-gravitating ideal gas into a vacuum
scientific article; zbMATH DE number 764195

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    Spherically symmetric escape of a self-gravitating ideal gas into a vacuum (English)
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    20 June 1995
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    The spherically symmetric flows of an ideal gas are considered assuming that Newtonian gravitation acts on the mass of gas. The problem of the decay of a special discontinuity is investigated by the method of characteristic series, and exact solutions of the initial-boundary value problems for the nonlinear integrodifferential partial-differential system are constructed in the form of converging series.
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    existence
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    uniqueness
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    rational adiabatic indices
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    decay of discontinuity
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    Newtonian gravitation
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    method of characteristic series
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    initial-boundary value problems
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    integrodifferential partial-differential system
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