Methods of potential theory in a filtration problem for a viscous fluid

DOI10.1134/S0012266119090076zbMath1444.76111OpenAlexW2981307599WikidataQ127019210 ScholiaQ127019210MaRDI QIDQ2280411

Gennadii A. Bocharov, Rufina M. Tretyakova, Alexey V. Setukha

Publication date: 18 December 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119090076

zbMATH Keywords

porous mediumintegral representation of solutionsystem of boundary integral equationsDarcy-Brinkman law

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (1)

Filtration of viscous fluid in homogeneous domain with mixed boundary condition

Cites Work

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• Mathematical modelling of the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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