Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner

DOI10.1007/s10483-019-2475-6zbMath1416.35160OpenAlexW2936059631MaRDI QIDQ2313237

Aidi Yao, Wan-cheng Sheng

Publication date: 18 July 2019

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-019-2475-6

zbMATH Keywords

isothermal flowpseudo-steady flowcentered compression simple wavecentered expansion simple wavetwo-dimensional (2D) Euler equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Supersonic flows (76J20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Self-similar solutions to PDEs (35C06)

Related Items (3)

Two-dimensional pseudo-steady supersonic isothermal flow around a sharp corner ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations
• Stability of transonic shocks in supersonic flow past a wedge
• Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations
• On global transonic shocks for the steady supersonic Euler flows past sharp 2-D wedges
• Interaction of a centered simple wave and a planar rarefaction wave of the two-dimensional Euler equations for pseudo-steady compressible flow
• Global uniqueness of transonic shocks in two-dimensional steady compressible Euler flows
• Centered wave bubbles with sonic boundary of pseudosteady Guderley Mach reflection configurations in gas dynamics
• Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge
• Existence and stability of supersonic Euler flows past Lipschitz wedges
• The interaction of rarefaction waves of the two-dimensional Euler equations
• The two-dimensional unsteady supersonic flow around a convex corner
• 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

This page was built for publication: Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner