Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows

DOI10.1007/s00033-013-0312-6zbMath1286.35160arXiv1209.3806OpenAlexW3106501084MaRDI QIDQ390333

Gui-Qiang G. Chen, Hairong Yuan, Vaibhav Kukreja

Publication date: 8 January 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3806

zbMATH Keywords

front trackingvortex sheetEulerian coordinates\(L^1\) stabilityelliptic-hyperbolic composite-mixed typeentropy waveincoming supersonic flowLagrange coordinates

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Transonic flows (76H05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Free boundary problems for PDEs (35R35) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Mixed-type systems of PDEs (35M30)

Related Items (14)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations ⋮ Contact discontinuities for 3-D axisymmetric inviscid compressible flows in infinitely long cylinders ⋮ Hypersonic similarity for the two dimensional steady potential flow with large data ⋮ Contact Discontinuities for 2-Dimensional Inviscid Compressible Flows in Infinitely Long Nozzles ⋮ Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows ⋮ Three-dimensional steady supersonic Euler flow past a concave cornered wedge with lower pressure at the downstream ⋮ Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows ⋮ Compressible vortex sheets separating from solid boundaries ⋮ Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows ⋮ Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows ⋮ Subsonic Flows Past a Profile with a Vortex Line at the Trailing Edge

Cites Work

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• Hyperbolic Conservation Laws in Continuum Physics
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