Homogenization of a stationary periodic Maxwell system

Suslina, T.

doi:10.1090/S1061-0022-05-00883-6

Homogenization of a stationary periodic Maxwell system
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by T. A. Suslina
Translated by: the author

St. Petersburg Math. J. 16 (2005), 863-922

DOI: https://doi.org/10.1090/S1061-0022-05-00883-6

Published electronically: September 23, 2005

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Abstract:

The homogenization problem is considered for a stationary periodic Maxwell system in $\mathbb {R}^3$ in the small period limit. The behavior of four fields is studied, namely, of the strength of the electric field, the strength of the magnetic field, the electric displacement vector, and the magnetic displacement vector. Each field is represented as a sum of two terms. For some terms uniform approximations in the $L_2(\mathbb {R}^3)$-norm are obtained, together with a precise order estimate for the remainder term.

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