Short-time structural stability of compressible vortex sheets with surface tension

DOI10.1007/s00205-016-1009-8zbMath1356.35168OpenAlexW770658949WikidataQ59477109 ScholiaQ59477109MaRDI QIDQ338090

Ben Stevens

Publication date: 4 November 2016

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

Full work available at URL: https://doi.org/10.1007/s00205-016-1009-8

zbMATH Keywords

stabilitylocal existencecompressible Euler systemvortex sheets

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Interfacial stability and instability in hydrodynamic stability (76E17) Euler equations (35Q31)

Related Items

Global well-posedness of the free boundary problem for the compressible Euler equations with damping and gravity ⋮ Nonlinear stability and existence of two-dimensional compressible current-vortex sheets ⋮ On the vortex sheets of compressible flows ⋮ Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD ⋮ Existence of multi‐dimensional contact discontinuities for the ideal compressible magnetohydrodynamics ⋮ Global well-posedness of the free-interface incompressible Euler equations with damping ⋮ Nonlinear stability of MHD contact discontinuities with surface tension

Cites Work

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• A priori estimates for 3D incompressible current-vortex sheets
• Well posedness for the motion of a compressible liquid with free surface boundary
• Well-posedness for the motion of an incompressible liquid with free surface boundary
• The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
• Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
• A simple proof of well-posedness for the free-surface incompressible Euler equations
• Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
• Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws
• Well-posedness of Compressible Euler Equations in a Physical Vacuum
• Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
• On the disturbed motion of a plane vortex sheet
• Well-posedness of the free-surface incompressible Euler equations with or without surface tension
• On the motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity
• Nonlinear compressible vortex sheets in two space dimensions
• The stability of compressible vortex sheets in two space dimensions
• Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit
• On the stability of a plane vortex sheet with respect to three-dimensional disturbances