Friday, March 26

Stochastic Homogenization for Diffusion and Convection in Random Media

2:00 PM-4:00 PM
Room: Executive Salon 1

Nonstationary phenomena, like for instance heat propagation in composite media or filtration flow through heterogeneous porous media, are modeled by a diffusion-convection type equation. Depending on the relative sizes of the space scale of the media heterogeneities, of the oscillations time scale, and of the Peclet number, stochastic homogenization leads to very different models, going from purely dispersive to purely convective models. Because of a possible drastic change in the homogenized limit, a very carefull and rather sophisticated mathematical analysis is necessary. The speakers in this minisymposium will present several situations leading to different scaled up models.

Organizer: Alain P. Bourgeat
University of Saint Etienne, France

2:00-2:25 Scaling Up Filtration Laws in Randomly Heterogeneous Porous Media
Alain P. Bourgeat, Organizer
2:30-2:55 Numerical Homogenization for the Diffusion Process in Random Media
Yalchin R. Efendiev, California Institute of Technology
3:00-3:25 Asymptotic Behavior of the Effective Coefficient for a Random Difference Operator
Elisabeth Remy, INRIA/LATP, Marseille, France; and Andrey Piatnitski, Russian Academy of Sciences, Moscow, Russia
3:30-3:55 UpdatedHomogenization on the Background of Large Convection
Andrey L. Piatnitski, Russian Academy of Sciences, Moscow

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tjf, 10/29/98, MMD, 2/18/98