Abstract
On the basis of the covariance of the Maxwell equations under Lorentz transformations, we generalize the Minkowski equations by deducing the material relations for nonlinear magnetizable and polarizable moving media.
Similar content being viewed by others
REFERENCES
V. V. Batygin and I. N. Toptygin, A Collection of Problems of Electrodynamics [in Russian], Nauka, Moscow (1970).
I. N. Bronshtein and K. A. Semendyaev, A Handbook on Mathematics for Engineers and Students of High Technical Schools [in Russian], Nauka, Moscow (1986).
A. R. Gachkevich and M. T. Solodyak, "Investigation of the process of deformation of conducting ferromagnetic bodies in external harmonic electromagnetic fields," Mat. Met. Fiz.-Mekh. Polya, Issue 31, 25-30 (1990).
J. D. Jackson, Classical Electrodynamics, Wiley, New York (1962).
L. I. Sedov and A. G. Tsypkin, Fundamentals of Macroscopic Theories of Gravitation and Electromagnetism [in Russian], Nauka, Moscow (1989).
I. E. Tamm, Fundamentals of Electricity Theory [in Russian], Nauka, Moscow (1976).
Ya. P. Terletskii and Yu. P. Rybakov, Electrodynamics [in Russian], Vysshaya Shkola, Moscow (1990).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Solodyak, M.T., Ivas'ko, R.O. Minkowski Equations in Nonlinear Magnetizable and Polarizable Moving Media. Journal of Mathematical Sciences 109, 1215–1220 (2002). https://doi.org/10.1023/A:1013792510734
Issue Date:
DOI: https://doi.org/10.1023/A:1013792510734