Email this article Methods of Potential Theory in a Filtration Problem for a Viscous Fluid
- Authors: Setukha A.V.1, Tretyakova R.M.2, Bocharov G.A.2
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Affiliations:
- Lomonosov Moscow State University
- Marchuk Institute of Numerical Mathematics
- Issue: Vol 55, No 9 (2019)
- Pages: 1182-1197
- Section: Integral and Integro-Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155208
- DOI: https://doi.org/10.1134/S0012266119090076
- ID: 155208
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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.
About the authors
A. V. Setukha
Lomonosov Moscow State University
Author for correspondence.
Email: setuhaav@rambler.ru
Russian Federation, Moscow, 11991
R. M. Tretyakova
Marchuk Institute of Numerical Mathematics
Author for correspondence.
Email: trrufina@yandex.ru
Russian Federation, Moscow, 119333
G. A. Bocharov
Marchuk Institute of Numerical Mathematics
Author for correspondence.
Email: bocharov@m.inm.ras.ru
Russian Federation, Moscow, 119333
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