Well-posedness for moving interfaces in anisotropic plasmas
DOI10.1007/s00033-023-02035-4zbMath1529.35412arXiv2304.08955OpenAlexW4381740274MaRDI QIDQ6116124
Publication date: 17 July 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.08955
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) 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) First-order hyperbolic systems (35L40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- On the motion of free interface in ideal incompressible MHD
- On the well-posedness of a linearized plasma-vacuum interface problem in ideal compressible MHD
- The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
- On stability of shock waves in magnetohydrodynamics with anisotropic pressure
- Some properties of anisotropic Sobolev spaces
- Initial boundary value problems for quasilinear symmetric hyperbolic systems with characteristic boundary
- Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations
- Ill-posedness of free boundary problem of the incompressible ideal MHD
- Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics
- 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
- Well-posedness of the linearized plasma-vacuum interface problem
- A priori estimates for free boundary problem of incompressible inviscid magnetohydrodynamic flows
- Existence of compressible current-vortex sheets: Variable coefficients linear analysis
- On the Nash-Moser Iteration Technique
- Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
- Well-posedness of the linearized plasma-vacuum interface problem in ideal incompressible MHD
- The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions
- Magnetohydrodynamics of Laboratory and Astrophysical Plasmas
- Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD
- REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS
- ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS
- Well-posedness of the plasma–vacuum interface problem
