Persistence of shocks in ducts (Q414506)
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scientific article; zbMATH DE number 6033207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Persistence of shocks in ducts |
scientific article; zbMATH DE number 6033207 |
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Persistence of shocks in ducts (English)
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11 May 2012
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The author considers the shock problem for the 2D unsteady non-isentropic compressible Euler flow in a rectangular duct. The flow is supersonic at the entry and subsonic at the exit. The problem is formulated as a non-classical initial-boundary problem by fixing the free boundary using change of variables. Local existence, uniqueness, and stability of the shock waves is proved under certain conditions.
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persistence
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existence
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uniqueness
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shock wave
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Euler system
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2D hyperbolic system
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rectangular duct
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initial-boundary problem
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free boundary
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