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Convection–diffusion equation with space–time ergodic random flow
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  • Published: October 1998

Convection–diffusion equation with space–time ergodic random flow

  • C. Landim1,
  • S. Olla2 &
  • H. T. Yau3 

Probability Theory and Related Fields volume 112, pages 203–220 (1998)Cite this article

  • 205 Accesses

  • 33 Citations

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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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Authors and Affiliations

  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.br, , , , , , FR

    C. Landim

  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.fr, , , , , , FR

    S. Olla

  3. Courant Institute, 251 Mercer Street, New York, NY 10012, USA. E-mail: yau@cims.nyu.edu, , , , , , US

    H. T. Yau

Authors
  1. C. Landim
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  2. S. Olla
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  3. H. T. Yau
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Additional information

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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  • Issue Date: October 1998

  • DOI: https://doi.org/10.1007/s004400050187

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  • Mathematics Subject Classification (1991): Primary 60K35
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