The uniqueness of transonic shocks in supersonic flow past a 2-D wedge

DOI10.1016/j.jmaa.2015.11.067zbMath1336.35238OpenAlexW2203500596MaRDI QIDQ5962554

Beixiang Fang, Wei Xiang

Publication date: 12 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.067

zbMATH Keywords

potential flow equationsteady transonic flow

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Transonic flows (76H05) PDEs of mixed type (35M10) Hyperbolic conservation laws (35L65)

Related Items (14)

Global instability of multi-dimensional plane shocks for isothermal flow ⋮ Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations ⋮ Detached shock past a blunt body ⋮ Persistence of the steady planar normal shock structure in 3‐D unsteady potential flows ⋮ Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle ⋮ Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall ⋮ The two-dimensional unsteady supersonic flow around a convex corner ⋮ Persistence of the Steady Normal Shock Structure for the Unsteady Potential Flow ⋮ Stability of attached transonic shocks in steady potential flow past three-dimensional wedges ⋮ Low Mach number limit of multidimensional steady flows on the airfoil problem ⋮ Three-dimensional steady supersonic Euler flow past a concave cornered wedge with lower pressure at the downstream ⋮ Piston problems of two-dimensional Chaplygin gas ⋮ Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow ⋮ Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner

Cites Work

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• Stability of transonic shocks in supersonic flow past a wedge
• On global transonic shocks for the steady supersonic Euler flows past sharp 2-D wedges
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• Supersonic flow past a nearly straight wedge
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• Steady supersonic flow past an almost straight wedge with large vertex angle.
• Global uniqueness of transonic shocks in two-dimensional steady compressible Euler flows
• Existence and stability of supersonic Euler flows past Lipschitz wedges
• Asymptotic behavior and uniqueness of plane subsonic flows
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• The existence of viscous profiles and admissibility for transonic shocks
• Global Existence of Steady Supersonic Potential Flow Past a Curved Wedge with a Piecewise Smooth Boundary
• Stability of transonic shocks for the full Euler system in supersonic flow past a wedge

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