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Minkowski Equations in Nonlinear Magnetizable and Polarizable Moving Media

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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.

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REFERENCES

  1. V. V. Batygin and I. N. Toptygin, A Collection of Problems of Electrodynamics [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. I. N. Bronshtein and K. A. Semendyaev, A Handbook on Mathematics for Engineers and Students of High Technical Schools [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  3. 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).

  4. J. D. Jackson, Classical Electrodynamics, Wiley, New York (1962).

    Google Scholar 

  5. L. I. Sedov and A. G. Tsypkin, Fundamentals of Macroscopic Theories of Gravitation and Electromagnetism [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  6. I. E. Tamm, Fundamentals of Electricity Theory [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  7. Ya. P. Terletskii and Yu. P. Rybakov, Electrodynamics [in Russian], Vysshaya Shkola, Moscow (1990).

    Google Scholar 

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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

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  • DOI: https://doi.org/10.1023/A:1013792510734

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