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

作　　者：Joel FOTSO TACHAGO Hubert NNANG 

机构地区：[1]Faculty of Science, Department of Mathematics and Computer Science, University of Bamenda, P. O. Box 39 Bambili, Cameroon [2]Higher Teachers Training College, University of Yaounde I, P. O. Box 47 Yaounde, Cameroon

出　　处：《Acta Mathematica Sinica,English Series》2017年第1期117-152,共36页数学学报（英文版）

基　　金：Supported by UY1-MINESUP-Cameroon

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.

关 键 词：Maxwell＇s equations dynamical system stochastic two-scale convergence 

分 类 号：O175[理学—数学]