Weak Wavefront Solutions of Maxwell’s Equations in Conducting Media
Weak Wavefront Solutions of Maxwell’s Equations in Conducting Media作者机构：The U.S. Army Research Laboratory WMRD Aberdeen Proving Ground Harford County USA Mathematics Department Drexel University Philadelphia USA
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2022年第10卷第1期
页 面：190-199页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Electric Current in Conductors Irreversible Thermodynamics Alegra Verification Boundary Value Problems Exact Solution
摘 要：We analyze the propagation of electromagnetic fronts in unbounded electric conductors. Our analysis is based on the Maxwell model of electromagnetism that includes the displacement current and Ohm’s law in its simplest forms. A weak electromagnetic front is a propagating interface at which the electromagnetic field remains continuous while its first- and higher-order derivatives experience finite jump discontinuities. Remarkably, analysis of such fronts can be performed autonomously, i.e. strictly in terms of the quantities defined on the front. This property opens the possibility of establishing exact analytical solutions of the exact Maxwell system along with the evolution of the front.
维普期刊数据库