Abstract

A quasi-stationary Darwin approximation for the system of Maxwell’s equations in inhomogeneous conducting media is studied. An existence and uniqueness theorem for the initial-boundary value problem for the resulting system of differential equations is proved. Estimates of the proximity between the solutions of the quasi-stationary problem under consideration and the corresponding nonstationary problem, depending on the characteristic values of the data, are presented.

中文翻译：

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非均匀传导介质中麦克斯韦方程组的达尔文逼近

摘要

研究了非均匀导电介质中麦克斯韦方程组的拟平稳达尔文逼近。证明了所得微分方程组初边值问题的存在唯一性定理。根据数据的特征值，给出了所考虑的准平稳问题的解与相应的非平稳问题的解之间的接近性估计。