A new class of exact solutions with shock waves in gas dynamics (Q1090553)
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scientific article; zbMATH DE number 4007983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new class of exact solutions with shock waves in gas dynamics |
scientific article; zbMATH DE number 4007983 |
Statements
A new class of exact solutions with shock waves in gas dynamics (English)
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1985
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New exact solutions of the equation of one-dimensional gas dynamics with strong shock waves propagating in a moving medium are obtained. The gas flow behind a discontinuity is described by a solution with uniform deformation. Solutions of the explosion problem without a counterpressure in a uniformly expanding (or compressing) gas with an arbitrary adiabatic exponent and a non-uniform initial density distribution are constructed, as well as of the problem of cavity collapse in a dust cloud with the formation of a shock wave.
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exact solutions
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one-dimensional gas dynamics
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strong shock waves
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solution with uniform deformation
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explosion problem
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adiabatic exponent
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non-uniform initial density distribution
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cavity collapse
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dust cloud
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formation of a shock wave
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