Stability of contact discontinuities in three-dimensional compressible steady flows

DOI10.1016/j.jde.2013.05.014zbMath1288.35064OpenAlexW2065165310MaRDI QIDQ2435323

Ya-Guang Wang, Fang Yu

Publication date: 4 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.jde.2013.05.014

zbMATH Keywords

a priori estimatesloss of regularityKreiss-Lopatinskii conditionlinear weak stability

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Interfacial stability and instability in hydrodynamic stability (76E17) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (16)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Nonlinear geometric optics for contact discontinuities in three dimensional compressible isentropic steady flows ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ On multi-dimensional linear stability of planar shock waves for Chaplygin gases ⋮ Nonlinear stability and existence of two-dimensional compressible current-vortex sheets ⋮ Nonlinear stability and existence of vortex sheets for inviscid liquid-gas two-phase flow ⋮ 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 ⋮ Three-dimensional steady supersonic Euler flow past a concave cornered wedge with lower pressure at the downstream ⋮ Linear stability of compressible vortex sheets in 2D elastodynamics: variable coefficients ⋮ Two-phase fluids in collision of incompressible inviscid fluids effluxing from two nozzles ⋮ On the stability of two-dimensional nonisentropic elastic vortex sheets ⋮ Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows ⋮ Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows

Cites Work

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