Weak stability of the plasma-vacuum interface problem

DOI10.1016/j.jde.2016.05.023zbMath1383.76540arXiv1604.03759OpenAlexW2964305412MaRDI QIDQ2630902

Davide Catania, Paolo Secchi, Marcello D'Abbicco

Publication date: 25 July 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03759

zbMATH Keywords

Maxwell's equationsplasma-vacuum interfacecharacteristic free boundaryideal compressible magneto-hydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) First-order nonlinear hyperbolic equations (35L60) Interfacial stability and instability in hydrodynamic stability (76E17) Magnetohydrodynamics and electrohydrodynamics (76W05) 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)

Related Items

Weakly nonlinear surface waves on the plasma-vacuum interface ⋮ On vacuum free boundary problems in ideal compressible magnetohydrodynamics ⋮ Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On well-posedness of the plasma-vacuum interface problem: the case of non-elliptic interface symbol
• A priori estimates for 3D incompressible current-vortex sheets
• Stability of the linearized MHD-Maxwell free interface problem
• Influence of vacuum electric field on the stability of a plasma-vacuum interface
• The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
• Stabilization effect of magnetic fields on two-dimensional compressible current-vortex sheets
• Existence and stability for the 3D linearized constant-coefficient incompressible current-vortex sheets
• Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows
• Well-posedness of the linearized plasma-vacuum interface problem
• Local boundary conditions for dissipative symmetric linear differential operators
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• STABILITY OF RELATIVISTIC PLASMA-VACUUM INTERFACES
• On the transition to instability for compressible vortex sheets
• Weak Stability of Nonuniformly Stable Multidimensional Shocks
• The stability of compressible vortex sheets in two space dimensions
• Initial boundary value problems for hyperbolic systems
• Well-posedness of the plasma–vacuum interface problem