Correctors for Parabolic Equations in a Heterogeneous Fibered Medium
We study the problem of correctors in the framework of the homogenization of linear parabolic equations posed in a heterogeneous medium made of two materials. The first one is located in a set of cylindrical parallel fibers periodically distributed with a period of size , and the second one is located in the "matrix" . The ratio between the conductivity coefficients of the two materials is of order . After writing the homogenized problem, we give a corrector result and prove that the solution...