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Three-dimensional interaction of shocks in irrotational flows - MaRDI portal

Three-dimensional interaction of shocks in irrotational flows (Q643863)

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scientific article; zbMATH DE number 5966736
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Three-dimensional interaction of shocks in irrotational flows
scientific article; zbMATH DE number 5966736

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    Three-dimensional interaction of shocks in irrotational flows (English)
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    2 November 2011
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    The author studies the Riemann problem in three dimensions reduced to the problem of interaction of three shocks merging at a point. The flow is steady irrotational, subject to the Chaplygin equation of state. Existence of special waves described by a potential obeying a special free-boundary problem is proved. Existence and uniqueness of the triple interaction is shown. The asymptotics is described.
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    shock waves
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    characteristic boundary-value problem
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    Riemann problem
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    irrotational steady flow
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    Chaplygin equation
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