Stochastic-Periodic homogenization of Maxwell's equations with nonlinear and periodic conductivity

Abstract

Stochastic-periodic homogenization is studied for the Maxwell equations with nonlinear and periodic electric conductivity. It is shown by the stochastic-two-scale convergence method that the sequence of solutions of a class of highly oscillatory problems converges to the solution of a homogenized Maxwell equation.

arXiv comment29 pages