Self-similar solutions of the Euler equations with spherical symmetry (Q452444)
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scientific article; zbMATH DE number 6084811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-similar solutions of the Euler equations with spherical symmetry |
scientific article; zbMATH DE number 6084811 |
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Self-similar solutions of the Euler equations with spherical symmetry (English)
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21 September 2012
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A spherically symmetric self-similar flow is considered. A spherical piston moves outward at a constant speed pushing out undisturbed gas. The speed of a weak shock is supposed to be constant. The problem is transformed into a system of two nonlinear ordinary differential equations with appropriate two-point boundary conditions. The global existence of a unique positive smooth solution is proved.
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Euler equations
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shock waves
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self-similarity
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