Methods of Potential Theory in a Filtration Problem for a Viscous Fluid


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Integral representations for the velocity and pressure fields are constructed in the problem on a three-dimensional filtration flow of a viscous fluid obeying the Darcy-Brinkman law in a piecewise homogeneous medium. This problem is reduced to a system of boundary integral equations.

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A. Setukha

Lomonosov Moscow State University

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Email: setuhaav@rambler.ru
俄罗斯联邦, Moscow, 11991

R. Tretyakova

Marchuk Institute of Numerical Mathematics

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Email: trrufina@yandex.ru
俄罗斯联邦, Moscow, 119333

G. Bocharov

Marchuk Institute of Numerical Mathematics

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Email: bocharov@m.inm.ras.ru
俄罗斯联邦, Moscow, 119333

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