Eeective Diiusivity of Stationary Vector Fields with Short Time Correlations
نویسنده
چکیده
We consider transport properties for a class of periodic, Gaussian, stationary, divergence free, random velocity elds in R 2 with a nite number of spatial modes. Full asymptotics of the eeective diiusivity is obtained in the case of short time correlations, on a fully rigorous basis. Existence and uniqueness for a hypoellip-tic partial diierential equation coupling velocity Fourier modes to physical space transport provides the main technical step in the justiication of the asymptotic analysis.
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