%0 Journal Article
%T Influence of vacuum electric field on the stability of a plasma-vacuum interface
%A Nikita Mandrik
%A Yuri Trakhinin
%J Mathematics
%D 2013
%I arXiv
%X We study the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics. Unlike the classical statement, when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, we do not neglect the displacement current in the vacuum region and consider the Maxwell equations for electric and magnetic fields. We show that a sufficiently large vacuum electric field can make the planar interface violently unstable. We find and analyze a sufficient condition on the vacuum electric field that precludes violent instabilities. Under this condition satisfied at each point of the unperturbed nonplanar plasma-vacuum interface, we prove the well-posedness of the linearized problem in anisotropic weighted Sobolev spaces.
%U http://arxiv.org/abs/1305.5327v1