Well-posedness of the plasma–vacuum interface problem

DOI10.1088/0951-7715/27/1/105zbMath1452.76274arXiv1301.5238OpenAlexW3106128406MaRDI QIDQ5746372

Yu. L. Trakhinin, Paolo Secchi

Publication date: 18 February 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5238

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17) Magnetohydrodynamics and electrohydrodynamics (76W05) Initial-boundary value problems for first-order hyperbolic systems (35L50) Free boundary problems for PDEs (35R35) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (47)

Local solvability of free boundary problems in ideal compressible magnetohydrodynamics with and without surface tension ⋮ Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations ⋮ Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics* ⋮ Well-posedness of axially symmetric incompressible ideal magnetohydrodynamic equations with vacuum under the non-collinearity condition ⋮ Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD ⋮ Weak stability of the plasma-vacuum interface problem ⋮ Weakly nonlinear surface waves on the plasma-vacuum interface ⋮ Local well-posedness for the motion of a compressible gravity water wave with vorticity ⋮ On well-posedness of the plasma-vacuum interface problem: the case of non-elliptic interface symbol ⋮ Well-posedness of the linearized plasma-vacuum interface problem in ideal incompressible MHD ⋮ A Priori Tame Estimates in Sobolev Spaces for the Plasma–Vacuum Interface Problem ⋮ Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension ⋮ Well-posedness of the free boundary problem in incompressible MHD with surface tension ⋮ Локальное существование контактных разрывов в релятивистской магнитной гидродинамике ⋮ Well-posedness of the free boundary problem in compressible elastodynamics ⋮ Ill-posedness of free boundary problem of the incompressible ideal MHD ⋮ On vacuum free boundary problems in ideal compressible magnetohydrodynamics ⋮ Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Nonlinear stability and existence of two-dimensional compressible current-vortex sheets ⋮ A regularity result for the incompressible inviscid magnetohydrodynamics equations in the arbitrary Lagrangian-Eulerian coordinates ⋮ Well-posedness for moving interfaces in anisotropic plasmas ⋮ Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD ⋮ Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension ⋮ Local well-posedness of the free-boundary problem in compressible resistive magnetohydrodynamics ⋮ Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics ⋮ Stability of the linearized MHD-Maxwell free interface problem ⋮ Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime ⋮ Well-posedness of the free boundary problem for incompressible elastodynamics ⋮ On a priori energy estimates for characteristic boundary value problems ⋮ Two-dimensional vortex sheets for the nonisentropic Euler equations: nonlinear stability ⋮ Weakly nonlinear surface waves in magnetohydrodynamics. I ⋮ Well-Posedness of the Free Boundary Problem in Elastodynamics with Mixed Stability Condition ⋮ Local existence of MHD contact discontinuities ⋮ On the motion of free interface in ideal incompressible MHD ⋮ Well-posedness of the linearized problem for MHD contact discontinuities ⋮ Well-posedness of the free boundary problem in incompressible elastodynamics under the mixed type stability condition ⋮ Nonlinear surface waves on the plasma-vacuum interface ⋮ On the Nash-Moser Iteration Technique ⋮ Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations ⋮ A regularity result for the incompressible magnetohydrodynamics equations with free surface boundary ⋮ A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension ⋮ Well-posedness of the plasma -- vacuum interface problem for ideal incompressible MHD ⋮ On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations ⋮ Nonlinear stability of MHD contact discontinuities with surface tension ⋮ On local existence of MHD contact discontinuities ⋮ The research of Paolo Secchi

This page was built for publication: Well-posedness of the plasma–vacuum interface problem