Stability of contact discontinuity for steady Euler system in infinite duct

DOI10.1007/s00033-012-0271-3zbMath1275.35087arXiv1103.4583OpenAlexW3103652227MaRDI QIDQ2393624

Myoungjean Bae

Publication date: 8 August 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4583

zbMATH Keywords

stabilitydiscontinuous coefficientsunbounded domainnonlinear equationcontact discontinuityasymptotic statesinviscid compressible flowunique existencesteady Euler systempiecewise \(C^{1,\alpha}\) estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Transonic flows (76H05) Second-order elliptic equations (35J15) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Quasilinear elliptic equations (35J62)

Related Items (14)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Subsonic Euler flows with large vorticity through an infinitely long axisymmetric nozzle ⋮ Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations ⋮ Contact discontinuities for 3-D axisymmetric inviscid compressible flows in infinitely long cylinders ⋮ Incompressible Réthy Flows in Two Dimensions ⋮ Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle ⋮ Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles ⋮ Contact Discontinuities for 2-Dimensional Inviscid Compressible Flows in Infinitely Long Nozzles ⋮ Compressible subsonic jet flows issuing from a nozzle of arbitrary cross-section ⋮ Steady incompressible axially symmetric Réthy flows ⋮ Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle ⋮ Subsonic-sonic limit of approximate solutions to multidimensional steady Euler equations ⋮ Two-phase fluids in collision of incompressible inviscid fluids effluxing from two nozzles ⋮ Subsonic Flows Past a Profile with a Vortex Line at the Trailing Edge

Cites Work

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• Stability of transonic shocks in supersonic flow past a wedge
• Existence and stability of multidimensional transonic flows through an infinite nozzle of arbitrary cross-sections
• The transonic shock in a nozzle, 2-D and 3-D complete Euler systems
• Existence and stability of perturbed transonic shocks for compressible steady potential flows
• Nonlinear stability and instability of transonic flows through a nozzle
• Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
• Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles
• Stability of reflection and refraction of shocks on interface
• Elliptic Partial Differential Equations of Second Order
• Stability of a Mach configuration
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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