Convection-Doffusion Equation with
     Space-Time Ergodic Random Flow.

     C.Landim, S.Olla and H.T.Yau.

Keywords:Homogenization,Convection-Diffusion Equations

Consider a passive scalar (like the temperature)
 diffusing in an incompressible fluid. 
It will satisfy the convection--diffusion equation
with certain initial condition given. The fluid velocity
 is given by a time dependent random divergence-free field 
ergodic respect to translation in space and time.

We study the effective diffusion on a diffusive macroscopic scale
and the corresponding effective diffusion matrix.

Such problem arises in the diffusion of contaminants 
in saturated porous media 
and in diffusion of particles deposited as sediment in convective flows.



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