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- W2005202272 abstract "For a two-dimensional steady supersonic Euler flow past a convex cornered wall with right angle, a characteristic discontinuity (vortex sheet and/or entropy wave) is generated, which separates the supersonic flow from the quiescent gas (hence subsonic). We proved that such a transonic characteristic discontinuity is structurally stable under small perturbations of the upstream supersonic flow in BV. The existence of a weak entropy solution and Lipschitz continuous free boundary (i.e., characteristic discontinuity) is established. To achieve this, the problem is formulated as a free boundary problem for a nonstrictly hyperbolic system of conservation laws; and the free boundary problem is then solved by analyzing nonlinear wave interactions and employing the front tracking method." @default.
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- W2005202272 date "2013-02-01" @default.
- W2005202272 modified "2023-09-26" @default.
- W2005202272 title "Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows" @default.
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- W2005202272 doi "https://doi.org/10.1063/1.4790887" @default.
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