Two-dimensional centered wave flow patches to the Guderley Mach reflection configurations for steady flows in gas dynamics

DOI10.1142/S0219891616500028zbMath1339.35225MaRDI QIDQ2798338

Geng Lai, Wan-cheng Sheng

Publication date: 12 April 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Euler equationscharacteristic decompositioncentered wave problemGuderley Mach reflection

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Euler equations (35Q31)

Related Items (5)

Semi-hyperbolic patches of solutions to the two-dimensional compressible magnetohydrodynamic equations ⋮ The von Neumann paradox for the Euler equations ⋮ The regularity of semi‐hyperbolic patches near sonic curves for the two‐dimensional compressible magnetohydrodynamic equations ⋮ The expansion of supersonic flows into a vacuum through a convex duct with limited length ⋮ Centered wave bubbles with sonic boundary of pseudosteady Guderley Mach reflection configurations in gas dynamics

Cites Work

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• Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions
• Shock wave reflection phenomena
• Centered wave bubbles with sonic boundary of pseudosteady Guderley Mach reflection configurations in gas dynamics
• Nonexistence of the von Neumann Reflection Configuration for the Triple Point Paradox
• The Triple Point Paradox for the Nonlinear Wave System
• Self-Similar Solutions for the Triple Point Paradox in Gasdynamics
• The interaction of rarefaction waves of the two-dimensional Euler equations
• The von Neumann paradox in weak shock reflection
• On Hyperbolic Partial Differential Equations

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