Abstract : We study the asymptotic behavior of effective diffusion for singular perturbed elliptic operators with potential first order terms. Assuming that the potential is a random perturbation of a fixed periodic function and that this perturbation does not affect essentially the structure of the potential, we prove the exponential decay of the effective diffusion. Moreover, we establish its logarithmic asymptotics in terms of proper percolation level for the random potential.
D. Cioranescu and J.-L. Lions. Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XIV (Paris, 1997/1998), 31, North-Holland, pp.133--145, 2002
https://hal.inria.fr/hal-00924088
Contributeur : Fabien Campillo
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Soumis le : lundi 6 janvier 2014 - 12:11:17
Dernière modification le : samedi 27 janvier 2018 - 01:31:34
Fabien Campillo, Andrey L. Piatnitski. Effective diffusion in vanishing viscosity. D. Cioranescu and J.-L. Lions. Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XIV (Paris, 1997/1998), 31, North-Holland, pp.133--145, 2002. 〈hal-00924088〉
