On diffusion of a single‐phase, slightly compressible fluid through a randomly fissured medium
Copyright policy )On diffusion of a single‐phase, slightly compressible fluid through a randomly fissured medium
AbstractIn this paper, the Douglas–Peszyńska–Showalter model of diffusion through a partially fissured medium is given a stochastic formulation using the framework for problems in random media as set forth by Jikov, Kozlov and Oleinik. The concept of stochastic two‐scale convergence in the mean is then used to homogenize the randomized micromodels which result. As a consequence of this homogenization procedure, exact stochastic generalizations of results obtained by Clark and Showalter on diffusion through periodically fissured media are derived. Copyright © 2001 John Wiley & Sons, Ltd.
- University of Rochester United States
- Oakland University United States
Diffusion, stochastic two-scale convergence in the mean, Homogenization applied to problems in fluid mechanics, single-phase compressible fluid, Douglas-Peszyńska-Showalter model, diffusion, Stochastic analysis applied to problems in fluid mechanics, homogenization, Compressible fluids and gas dynamics, randomly fissured medium
Diffusion, stochastic two-scale convergence in the mean, Homogenization applied to problems in fluid mechanics, single-phase compressible fluid, Douglas-Peszyńska-Showalter model, diffusion, Stochastic analysis applied to problems in fluid mechanics, homogenization, Compressible fluids and gas dynamics, randomly fissured medium
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