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Global existence of shock for the supersonic Euler flow past a curved 2-D wedge - MaRDI portal

Global existence of shock for the supersonic Euler flow past a curved 2-D wedge (Q1941130)

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scientific article; zbMATH DE number 6143250
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English
Global existence of shock for the supersonic Euler flow past a curved 2-D wedge
scientific article; zbMATH DE number 6143250

    Statements

    Global existence of shock for the supersonic Euler flow past a curved 2-D wedge (English)
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    11 March 2013
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    The author considers the steady Euler equations in two dimensions describing a uniform supersonic flow coming from infinity and hitting a curved wedge with an angle. The global existence of the shock is established; besides, it is shown that the flow between she shock and the wedge is continuous provided that the wedge differs little from the straight in some weighted Sobolev norm and the vertex angle is less than some extremal value.
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    full steady Euler system
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    compressible flow
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    free boundary
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    supersonic shock
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    global classical solution
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