On well-posedness of the plasma-vacuum interface problem: the case of non-elliptic interface symbol
From MaRDI portal
Publication:324013
DOI10.3934/cpaa.2016.15.1371zbMath1348.76190arXiv1512.01177OpenAlexW2963854835MaRDI QIDQ324013
Publication date: 10 October 2016
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.01177
ideal compressible magnetohydrodynamicshyperbolic-elliptic systemplasma-vacuum interfacecharacteristic free boundary
Magnetohydrodynamics and electrohydrodynamics (76W05) Initial-boundary value problems for first-order hyperbolic systems (35L50) Free boundary problems for PDEs (35R35) First-order elliptic systems (35J46)
Related Items
Local solvability of free boundary problems in ideal compressible magnetohydrodynamics with and without surface tension, 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, 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, Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics, 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, On the motion of free interface in ideal incompressible MHD, Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations, Asymptotic shallow models arising in magnetohydrodynamics
Cites Work
- Unnamed Item
- Unnamed Item
- On the well-posedness of a linearized plasma-vacuum interface problem in ideal compressible MHD
- Compressible fluid flow and systems of conservation laws in several space variables
- 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
- Weakly stable multidimensional shocks
- Well-posedness of the linearized problem for MHD contact discontinuities
- Well-posedness of the linearized plasma-vacuum interface problem
- Existence of compressible current-vortex sheets: Variable coefficients linear analysis
- Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
- Local existence for the free boundary problem for nonrelativistic and Relativistic compressible Euler equations with a vacuum boundary condition
- Well-posedness of the linearized plasma-vacuum interface problem in ideal incompressible MHD
- An energy principle for hydromagnetic stability problems
- Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
- Nonlinear compressible vortex sheets in two space dimensions
- The equations of motion of a perfect fluid with free boundary are not well posed.
- Stability of Strong Discontinuities in Fluids and MHD
- Well-posedness of the water-waves equations
- Initial boundary value problems for hyperbolic systems
- Well-posedness of the plasma–vacuum interface problem
