Abstract.
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.
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Received: 17 December 1996/Revised revision: 9 February 1998
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Landim, C., Olla, S. & Yau, H. Convection–diffusion equation with space–time ergodic random flow. Probab Theory Relat Fields 112, 203–220 (1998). https://doi.org/10.1007/s004400050187
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DOI: https://doi.org/10.1007/s004400050187
- Mathematics Subject Classification (1991): Primary 60K35