Un modèle général de double porosité

Abstract

We consider a parabolic equation with highly contrasted diffusion coefficients in the blocks set ℳ^(ɛ) and in the surrounding fissures system ℱ^(ɛ). Without a assumption, for a large range of contrast and by mean of variational homogenization, we find the global behavior when the numbers of blocks tends to infinity, for both the non stationary and the stationary model.