On the steady-state flow of an incompressible fluid through a randomly perforated porous medium (Q1268412)
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scientific article; zbMATH DE number 1212362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the steady-state flow of an incompressible fluid through a randomly perforated porous medium |
scientific article; zbMATH DE number 1212362 |
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On the steady-state flow of an incompressible fluid through a randomly perforated porous medium (English)
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14 February 2000
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The author applies the theory of stochastic differentiation to the homogenization of steady-state Stokes equations for an incompressible fluid when the perforation is obtained from a random process. The homogenized flow, obtained via the stochastic two-scale convergence in the mean, is shown to satisfy a Darcy-type law and a two-pressure Stokes system with both deterministic and stochastic derivatives.
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theory of stochastic differentiation
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two-scale convergence
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Darcy-type law
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two-pressure Stokes system
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