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Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow - MaRDI portal

Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow (Q776890)

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Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow
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    Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow (English)
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    13 July 2020
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    The transonic shock problem is considered as a one-phase free boundary problem for the nonlinear PDE. The uniform convexity of the transonic shock of the boundary value problem is studied. It is shown that a convex graph is the free boundary of a transonic shock. Nonlocal properties of the solution are investigated.
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    convexity of the transonic shock waves
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    free boundary
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    weak solution
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