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Stochastic-periodic Homogenization of Maxwell's Equations with Linear and Periodic Conductivity

Stochastic-periodic Homogenization of Maxwell's Equations with Linear and Periodic Conductivity
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摘要 Stochastic-periodic homogenization is studied for the Maxwell equations with the linear "and periodic electric conductivity. It is shown by the stochastic-two-scale convergence method that the sequence of solutions to a class of highly oscillatory problems converges to the solution of a homogenized Maxwell equation. Stochastic-periodic homogenization is studied for the Maxwell equations with the linear "and periodic electric conductivity. It is shown by the stochastic-two-scale convergence method that the sequence of solutions to a class of highly oscillatory problems converges to the solution of a homogenized Maxwell equation.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第1期117-152,共36页 数学学报(英文版)
基金 Supported by UY1-MINESUP-Cameroon
关键词 Maxwell's equations dynamical system stochastic two-scale convergence Maxwell's equations, dynamical system, stochastic two-scale convergence
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