Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows

DOI10.1016/j.jde.2014.12.017zbMath1311.35197OpenAlexW2039877274MaRDI QIDQ2256011

Vaibhav Kukreja, Qiuju Zhao, Hairong Yuan

Publication date: 18 February 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2014.12.017

zbMATH Keywords

front trackingfree boundarycompressible Euler equationsGlimm functionaltransoniccharacteristic discontinuity

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20) Euler equations (35Q31)

Related Items (8)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system ⋮ Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations ⋮ Two dimensional relativistic Euler equations in a convex duct ⋮ Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall ⋮ The two-dimensional unsteady supersonic flow around a convex corner ⋮ Hypersonic similarity for the two dimensional steady potential flow with large data ⋮ The Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flow

Cites Work

• Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows
• Steady supersonic flow past a curved cone
• Global existence of shock front solutions in one-dimensional piston problem in the relativistic Euler equations
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• On the \(L^1\) well posedness of systems of conservation laws near solutions containing two large shocks
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• The unique limit of the Glimm scheme
• Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge
• Existence and stability of supersonic Euler flows past Lipschitz wedges
• A multidimensional Piston problem for the Euler equations for compressible flow
• STABILITY OF CYLINDRICAL TRANSONIC SHOCKS FOR THE TWO-DIMENSIONAL STEADY COMPRESSIBLE EULER SYSTEM
• On Transonic Shocks in Two‐Dimensional Variable‐Area Ducts for Steady Euler System
• Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows
• Global existence and non-relativistic global limits of entropy solutions to the 1D piston problem for the isentropic relativistic Euler equations
• Stability of a Mach configuration
• Hyperbolic Conservation Laws in Continuum Physics
• Front tracking for hyperbolic conservation laws
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