We prove the homogenization of convection-diffusion in a time-dependent, ergodic, incompressible random flow which has a bounded stream matrix and a constant mean drift. We also prove two variational formulas for the effective diffusivity. As a consequence, we obtain both upper and lower bounds on the effective diffusivity.
1.IMPA, Estrada Dona Castorina 110, CEP 22460 Rio de Janeiro, Brazil and CNRS URA 1378, Université de Rouen, F-76128 Mont Saint Aignan, France. E-mail: landim@impa.brFR
2.Département de Mathématiques, Université de Cergy–Pontoise, 2 Av. Adolphe Chauvin, Pontoise F-95.302 Cergy–Pontoise Cedex, France and Centre de Mathématiques Appliquées, Ecole Polytechnique, F-91128 Palaiseau Cedex, France. E-mail: olla@v-cergy.frFR
3.Courant Institute, 251 Mercer Street, New York, NY 10012, USA. E-mail: yau@cims.nyu.eduUS