Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows

DOI10.1137/140976169zbMath1316.35194arXiv1407.1464OpenAlexW2148129335MaRDI QIDQ5253460

Fang Yu, Ya-Guang Wang

Publication date: 26 May 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1464

zbMATH Keywords

nonlinear stabilityNash-Moser-Hörmander iterationloss of regularitytame estimatesisentropic steady flows

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Interfacial stability and instability in hydrodynamic stability (76E17) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (13)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Global instability of multi-dimensional plane shocks for isothermal flow ⋮ Contact discontinuities for 3-D axisymmetric inviscid compressible flows in infinitely long cylinders ⋮ Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics ⋮ Nonlinear stability and existence of two-dimensional compressible current-vortex sheets ⋮ On the vortex sheets of compressible flows ⋮ Stabilization effect of elasticity on three-dimensional compressible vortex sheets ⋮ Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle ⋮ Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime ⋮ Contact Discontinuities for 2-Dimensional Inviscid Compressible Flows in Infinitely Long Nozzles ⋮ Two-dimensional vortex sheets for the nonisentropic Euler equations: nonlinear stability ⋮ On the stability of two-dimensional nonisentropic elastic vortex sheets ⋮ Subsonic Flows Past a Profile with a Vortex Line at the Trailing Edge

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