Homogenization of a diffusion equation with drift

Abstract We study the homogenization of a periodic eigenvalue problem for a diffusion equation with first order term in e −1 . When this problem is not reducible to divergence form, a drift phenomenon appears. Then, the eigenvectors deviate exponentially in e −1 from the solutions of an eigenvalue problem for an homogenized diffusion equation, and the corresponding eigenvalues are shifted by a constant factor in e −2 .