Filtration of a fluid with free boundaries in unbounded regions (Q2713961)
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scientific article; zbMATH DE number 1603220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Filtration of a fluid with free boundaries in unbounded regions |
scientific article; zbMATH DE number 1603220 |
Statements
10 June 2001
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saturated porous layer
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a priori estimates
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local uniqueness of solution
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existence of solution
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variational method
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filtration
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unbounded regions
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incompressible fluid
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0.90342975
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0.9029586
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0.9021272
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Filtration of a fluid with free boundaries in unbounded regions (English)
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A variational method is used to solve the problems of fluid filtration in unbounded regions. The authors study plane steady flows of incompressible fluid in a porous medium (seam) with unknown free boundaries. Various hydrodynamic regimes of fluid filtration are considered: inflow of fluid to a drain or a well from a porous layer, fluid filtration from an open reservoir through a porous layer (for example, in a plane earth dam or in a porous insert in chemical reactor), and fluid filtration under a hydrotechnological building.
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