Investigation of the solution of a system of partial differential equations with periodic coefficients

Alfred Potier; Edward Kuester

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arXiv · 2211.02568

Investigation of the solution of a system of partial differential equations with periodic coefficients

Alfred Potier·Edward Kuester

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Abstract

This is an English translation of a paper by the French physicist Alfred Potier (1840-1905) that originally appeared 150 years ago [A. Potier, ``Recherches sur l'int\'egration d'un syst\`eme d'\'equations aux diff\'erentielles partielles \`a coefficients p\'eriodiques,'' Comptes Rendus de l'Association Fran\c{c}aise pour l'Avancement des Sciences (Bordeaux), vol. 1, pp. 255-272 (1872)]. The paper presents an analysis of wave propagation through a periodic medium by a method that in many ways anticipated the technique of multiple-scale homogenization by more than a century.

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Alfred Potier, Edward Kuester. 2022-11-01. Investigation of the solution of a system of partial differential equations with periodic coefficients. https://arxiv.org/abs/2211.02568

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