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Grinfeld, P.M. (2014) Introduction to Tensor Analysis and the Calculus of Moving Surfaces. Springer, Heidelberg, Berlin.
https://doi.org/10.1007/978-1-4614-7867-6

has been cited by the following article:

• TITLE: Weak Wavefront Solutions of Maxwell’s Equations in Conducting Media

  AUTHORS: Michael Grinfeld, Pavel Grinfeld

  KEYWORDS: Electric Current in Conductors, Irreversible Thermodynamics, Alegra Verification, Boundary Value Problems, Exact Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.1, January 24, 2022

  ABSTRACT: 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.