On the macroscopic description of slow viscous flow past a random array of spheres (Q1094273)
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scientific article; zbMATH DE number 4025063
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the macroscopic description of slow viscous flow past a random array of spheres |
scientific article; zbMATH DE number 4025063 |
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On the macroscopic description of slow viscous flow past a random array of spheres (English)
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1986
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We give rigorous derivation of Brinkman's equation as the effective equation for slow viscous flow in porous media with high porosity. The medium is composed of spherical obstacles distributed randomly, and the microscopic flow is described by the Stokes equation. Along the road we give \(W^ 1_ 2\) convergence estimates for the point-sources approximation.
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random media
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rigorous derivation of Brinkman's equation
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slow viscous flow in porous media
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spherical obstacles
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microscopic flow
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Stokes equation
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point-sources approximation
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