Double-fluid steady filtration flows in near-shore water-bearing strata (Q2760829)

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scientific article; zbMATH DE number 1682333
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English
Double-fluid steady filtration flows in near-shore water-bearing strata
scientific article; zbMATH DE number 1682333

    Statements

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    13 December 2001
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    porous channels
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    contact filtration
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    complex-variable methods
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    uniqueness
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    existence
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    two-dimensional stationary filtration
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    water-bearing stratum of fresh water
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    unknown contact interface
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    fresh-water lens
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    Double-fluid steady filtration flows in near-shore water-bearing strata (English)
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    The author studies two-dimensional stationary filtration of two fluids of different densities with unknown contact interface. The problems of this type can describe, for example, the filtration in a water-bearing stratum of fresh water contacting with marine or salt ground waters, a fresh-water lens, a bottom-water cone near an imperfect well, the equilibrium of two interfaces by drainage, etc. Here the author proves the unique solvability for a wide class of contact filtration problems for porous channels with known boundary parts in the form of finite or infinite polygons.
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