The two-dimensional unsteady supersonic flow around a convex corner

DOI10.1142/S0219891618500169zbMath1418.35253OpenAlexW2895419108MaRDI QIDQ5377558

Shouke You, Wan-cheng Sheng

Publication date: 24 May 2019

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

Full work available at URL: https://doi.org/10.1142/s0219891618500169

zbMATH Keywords

centered compression simple wavecentered expansion simple wave

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hyperbolic equations on manifolds (58J45) Self-similar solutions to PDEs (35C06) Euler equations (35Q31) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (5)

Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state ⋮ The expansion of a non‐ideal gas around a sharp corner for 2‐D compressible Euler system ⋮ Two-dimensional pseudosteady flows around a sharp corner ⋮ Expansion of gas by turning a sharp corner into vacuum for 2-D pseudo-steady compressible magnetohydrodynamics system ⋮ Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner

Cites Work

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• Stability of a Mach configuration
• Stability of transonic shocks for the full Euler system in supersonic flow past a wedge
• The uniqueness of transonic shocks in supersonic flow past a 2-D wedge

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