Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime

DOI10.1007/s00205-018-1330-5zbMath1420.35206arXiv1707.02672OpenAlexW3101372316WikidataQ60429007 ScholiaQ60429007MaRDI QIDQ1732568

Gui-Qiang G. Chen, Tao Wang, Paolo Secchi

Publication date: 25 March 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02672

zbMATH Keywords

vortex sheetsLopatinskii determinantKreiss symmetrizersEuler relativistic equationsNash-Moser iteration scheme

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) First-order nonlinear hyperbolic equations (35L60) Free boundary problems for PDEs (35R35) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (12)

Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension ⋮ Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics ⋮ Stability of multidimensional thermoelastic contact discontinuities ⋮ 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 ⋮ Persistence of the steady planar normal shock structure in 3‐D unsteady potential flows ⋮ Stabilization effect of elasticity on three-dimensional compressible vortex sheets ⋮ Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics ⋮ Linear stability of compressible vortex sheets in 2D elastodynamics: variable coefficients ⋮ Nonlinear stability of MHD contact discontinuities with surface tension ⋮ On the stability of two-dimensional nonisentropic elastic vortex sheets

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