Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow

DOI10.1016/S0252-9602(18)30829-4zbMath1438.35257arXiv1807.06646OpenAlexW2962811606MaRDI QIDQ2313156

Matthew Rigby, Gui-Qiang G. Chen

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06646

zbMATH Keywords

entropystabilityshock wavevortex sheetwave interactionswavefull Euler equationssteadyGlimm schememulti-wave configurationBV perturbation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Euler equations (35Q31) Initial value problems for first-order hyperbolic equations (35L03)

Related Items

The von Neumann paradox for the Euler equations ⋮ Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles ⋮ Non-relativistic limits and stability of composite wave patterns to the relativistic Euler equations ⋮ Global stability of multi-wave configurations for the compressible non-isentropic Euler system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• E-H type Mach configuration and its stability
• Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes
• Large-time behavior of solutions of initial and initial-boundary value problems of a general system of hyperbolic conservation laws
• On the \(L^1\) well posedness of systems of conservation laws near solutions containing two large shocks
• Supersonic flow onto solid wedges, multidimensional shock waves and free boundary problems
• Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge
• Existence and stability of supersonic Euler flows past Lipschitz wedges
• Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws
• The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
• Nonlinear Development of Instabilities in Supersonic Vortex Sheets II: Resonant Interaction Among Kink Modes
• Stability of Compressible Vortex Sheets in Steady Supersonic Euler Flows over Lipschitz Walls
• Solutions in the large for nonlinear hyperbolic systems of equations
• Stability of a Mach configuration
• Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls
• Hyperbolic Conservation Laws in Continuum Physics