Abstract
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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This work was supported by the Russian Science Foundation, project no. 18-11-00171.
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Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 9, pp. 1226-1241.
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Setukha, A.V., Tretyakova, R.M. & Bocharov, G.A. Methods of Potential Theory in a Filtration Problem for a Viscous Fluid. Diff Equat 55, 1182–1197 (2019). https://doi.org/10.1134/S0012266119090076
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DOI: https://doi.org/10.1134/S0012266119090076