Homogenization of a diffusion equation with drift
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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 .
[1] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[2] C. Conca,et al. Fluids And Periodic Structures , 1995 .