Open AccessMathematical models of electromechanics as an asymptotics of Maxwell-Minkowski equations
Author(s) -
S. M. Nigmatullin,
I. M. Shenderovskiy
Publication year - 2015
Publication title -
izvestiâ mgtu "mami"
Language(s) - English
Resource type - Journals
eISSN - 2949-1428
pISSN - 2074-0530
DOI - 10.17816/2074-0530-67260
Subject(s) - electromechanics , inertial frame of reference , electromagnetic field , classical mechanics , physics , minkowski space , maxwell's equations , constant (computer programming) , classical electromagnetism , inhomogeneous electromagnetic wave equation , electromagnetic radiation , field (mathematics) , equations of motion , mathematical analysis , mathematics , optical field , mathematical physics , optics , computer science , quantum mechanics , pure mathematics , programming language
The article describes the methodological shortcomings of the standard formulation of the electrodynamics of moving material bodies: restriction of inertial motion of the bodies, the use of material relations in the form of linear equations with constant coefficients, absence of analytically correct transition to quasi-stationary electromagnetic processes. It is shown that these disadvantages can be overcome by using of experimental fact of absence of the electromagnetic field’s rest mass and applying the asymptotic expansions of the fields on the small parameters, which is the ratio of bodies’ speed to the light speed and the ratio of technical device sizes to the minimum length of the electromagnetic wave.