Global existence of a shock for the supersonic flow past a curved wedge

DOI10.1007/s10114-005-0611-8zbMath1103.35075OpenAlexW2153904674MaRDI QIDQ2505390

Hui Cheng Yin

Publication date: 4 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://publishup.uni-potsdam.de/files/2422/2002_08.pdf

zbMATH Keywords

global existenceshock wavewedgeEuler systempotential equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (13)

Global supersonic conic shock wave for the steady supersonic flow past a cone: Polytropic gas ⋮ Global solution to a three-dimensional spherical piston problem for the relativistic Euler equations ⋮ Global conic shock wave for the steady supersonic flow past a large curved cone at infinity ⋮ On the nonexistence of a global nontrivial subsonic solution in a 3D unbounded angular domain ⋮ Three‐dimensional stationary supersonic flows with axial symmetry in relativistic hydrodynamics ⋮ Compressible subsonic potential flow past a 2D given sharp angular unbounded domain ⋮ On the global existence and stability of a multi-dimensional supersonic conic shock wave ⋮ The supersonic flow past a wedge with large curved boundary ⋮ A Liouville-type theorem for subsonic flows around an infinite long ramp ⋮ On the instability problem of a 3-D transonic oblique shock wave ⋮ On global transonic shocks for the steady supersonic Euler flows past sharp 2-D wedges ⋮ The Supersonic flow onto a curved wedge with magnetic effect ⋮ Direct problem and inverse problem for the supersonic plane flow past a curved wedge

Cites Work

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• Existence of local solution to supersonic flow past a three-dimensional wing
• Supersonic flow past a nearly straight wedge
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Global shock waves for the supersonic flow past a perturbed cone
• Potential theory for regular and mach reflection of a shock at a wedge

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