We consider the plasma-vacuum interface problem in ideal incompressible magneto-hydrodynamics. Unlike the classical statement when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, to better understand the influence of the electric field in vacuum we do not neglect the displacement current in the vacuum region and consider the Maxwell equations for electric and magnetic fields. Under the necessary and sufficient stability condition for a planar interface found earlier by Trakhinin, we prove an energy a priori estimate for the linearized constant coefficient problem. The process of derivation of this estimate is based on various methods, including a secondary symmetrization of the vacuum Maxwell equations, the derivation of a hyperbolic evolutionary equation for the interface function and the construction of a degenerate Kreiss-type symmetrizer for an elliptic-hyperbolic problem for the total pressure.

我们考虑理想不可压缩磁流体动力学中的等离子体-真空界面问题。与真空磁场服从前麦克斯韦动力学的 div-curl 系统时的经典陈述不同，为了更好地理解真空中电场的影响，我们不忽略真空区域中的位移电流，并考虑麦克斯韦方程和磁场。在 Trakhinin 早先发现的平面界面的必要和充分稳定性条件下，我们证明了线性化常系数问题的能量先验估计。该估计的推导过程基于各种方法，包括真空麦克斯韦方程的二次对称化，