The shock development problem (Q1755137)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The shock development problem |
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The shock development problem (English)
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7 January 2019
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The book considers the shock development problem in fluid mechanics. The flow of a compressible perfect fluid is described by Euler equations and thermodynamic laws. The relativistic case is also included in the consideration. The initial data may be singular, the problem includes a free boundary, which is the shock surface. New geometric and analytical methods are proposed, including the acoustical structure on the spacetime manifold of the fluid.
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shock
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Euler equations
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compressible flow
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relativistic fluid
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free boundary
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blow-up
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