STABILITY OF RELATIVISTIC PLASMA-VACUUM INTERFACES

DOI10.1142/S0219891612500154zbMath1277.35047arXiv1006.1089OpenAlexW2963610413MaRDI QIDQ4649847

Yu. L. Trakhinin

Publication date: 15 November 2012

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

Full work available at URL: https://arxiv.org/abs/1006.1089

zbMATH Keywords

loss of smoothnessrelativistic magnetohydrodynamicsenergy integrals method

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Special relativity (83A05) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (10)

Local solvability of free boundary problems in ideal compressible magnetohydrodynamics with and without surface tension ⋮ Weak stability of the plasma-vacuum interface problem ⋮ Weakly nonlinear surface waves on the plasma-vacuum interface ⋮ 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 ⋮ On vacuum free boundary problems in ideal compressible 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 surface waves on the plasma-vacuum interface ⋮ Asymptotic shallow models arising in magnetohydrodynamics

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