STABILITY OF CYLINDRICAL TRANSONIC SHOCKS FOR THE TWO-DIMENSIONAL STEADY COMPRESSIBLE EULER SYSTEM

DOI10.1142/S0219891608001519zbMath1158.35014OpenAlexW2067370845MaRDI QIDQ3520501

Liu Li, Hairong Yuan

Publication date: 26 August 2008

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

Full work available at URL: https://doi.org/10.1142/s0219891608001519

zbMATH Keywords

stabilityfree boundary problemsnonlocal elliptic problemcompressible Euler systemtransonic shockshyperbolic-elliptic composite system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Transonic flows (76H05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Boundary value problems for linear first-order PDEs (35F15)

Related Items (18)

Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations ⋮ Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ Stabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ducts ⋮ Multidimensional transonic shock waves and free boundary problems ⋮ Stability of stationary subsonic compressible Euler flows with mass-additions in two-dimensional straight ducts ⋮ On transonic shocks in a conic divergent nozzle with axi-symmetric exit pressures ⋮ 3-d axisymmetric transonic shock solutions of the full Euler system in divergent nozzles ⋮ Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles ⋮ Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle ⋮ Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle ⋮ Global stability to steady supersonic flows with mass addition in one-dimensional duct ⋮ On Stability of Transonic Shocks for Stationary Rayleigh Flows in Two-dimensional Ducts ⋮ Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows ⋮ Uniqueness and instability of subsonic–sonic potential flow in a convergent approximate nozzle ⋮ Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows ⋮ Transonic shocks in multidimensional divergent nozzles ⋮ Transonic potential flows in a convergent-divergent approximate nozzle ⋮ Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle

Cites Work

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• A remark on determination of transonic shocks in divergent nozzles for steady compressible Euler flows
• Nonlinear stability and instability of transonic flows through a nozzle
• Transonic shocks in compressible flow passing a duct for three-dimensional Euler systems
• Elliptic Partial Differential Equations of Second Order
• Steady transonic shocks and free boundary problems in infinite cylinders for the Euler equations
• Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type
• On Transonic Shocks in Two‐Dimensional Variable‐Area Ducts for Steady Euler System
• Transonic shock in a nozzle I: 2D case
• Stability of a Mach configuration

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