E-H type Mach configuration and its stability

DOI10.1007/s00220-012-1570-4zbMath1297.76094OpenAlexW2037743205MaRDI QIDQ690734

Shuxing Chen

Publication date: 29 November 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-012-1570-4

zbMATH Keywords

existenceshock wavegeneralized Tricomi problemLavrentiev-Bitsadze's equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Interfacial stability and instability in hydrodynamic stability (76E17) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (6)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Stability of E-H type regular shock refraction ⋮ Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations ⋮ Global existence and stability of a stationary Mach reflection ⋮ Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow ⋮ Shock reflection in the presence of an upstream expansion wave and a downstream shock wave

Cites Work

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• Shock wave reflection phenomena
• Generalized Tricomi problem for a quasilinear mixed type equation
• A study of the flow structure for Mach reflection in steady supersonic flow
• Mixed type equations in gas dynamics
• Potential theory for regular and mach reflection of a shock at a wedge
• A free boundary problem for a quasi-linear degenerate elliptic equation: Regular reflection of weak shocks
• Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type
• Mach configuration in pseudo-stationary compressible flow
• Stability of a Mach configuration

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