Two-dimensional vortex sheets for the nonisentropic Euler equations: nonlinear stability

DOI10.1016/j.jde.2018.10.029zbMath1417.35136arXiv1808.09290OpenAlexW2899779194MaRDI QIDQ1736167

Tao Wang, Alessandro Morando, Paola Trebeschi

Publication date: 26 March 2019

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

Full work available at URL: https://arxiv.org/abs/1808.09290

zbMATH Keywords

existencenonlinear stabilityNash-Moser iterationcharacteristic boundarycompressible vortex sheetnonisentropic fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Interfacial stability and instability in hydrodynamic stability (76E17) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics ⋮ 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 ⋮ Existence of multi‐dimensional contact discontinuities for the ideal compressible magnetohydrodynamics ⋮ The limit Riemann solutions to nonisentropic Chaplygin Euler equations ⋮ Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics ⋮ On the stability of two-dimensional nonisentropic elastic vortex sheets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weakly well posed hyperbolic initial-boundary value problems with non characteristic boundary
• The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
• The boundary problems of physical geodesy
• Generalization of the formula of Faa di Bruno for a composite function with a vector argument
• Local existence of MHD contact discontinuities
• Well-posedness of characteristic symmetric hyperbolic systems
• Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
• Well-posedness of hyperbolic initial boundary value problems
• Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
• Hyperbolic systems of conservation laws II
• On the disturbed motion of a plane vortex sheet
• Nonlinear compressible vortex sheets in two space dimensions
• The existence of multidimensional shock fronts
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• The stability of multidimensional shock fronts
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
• The stability of compressible vortex sheets in two space dimensions
• Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows
• TWO-DIMENSIONAL VORTEX SHEETS FOR THE NONISENTROPIC EULER EQUATIONS: LINEAR STABILITY
• On the stability of a plane vortex sheet with respect to three-dimensional disturbances
• Well-posedness of the plasma–vacuum interface problem