Homogenization for time-dependent two-dimensional incompressible Gaussian flows
Rene A. Carmona, Lin Hai Xu · The Annals of Applied Probability · 1997
We consider the diffusive scaling limit for the transport of a passive scalar in a two-dimensional time-dependent incompressible Gaussian velocity field and in the presence of molecular diffusivity. We prove that homogenization holds in this limiting regime and we derive some simple properties of the effective diffusivity tensor.