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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive
J. Sib. Fed. Univ. Math. Phys., 2020 Volume 13, Issue 6, Pages 763–773 (Mi jsfu880)
This article is cited in 6 papers

Filtration of liquid in a non-isothermal viscous porous medium

Alexander A. Papin, Margarita A. Tokareva, Rudolf A. Virts

Altai State University, Barnaul, Russian Federation

Abstract: The solvability of the initial-boundary value problem is proved for the system of equations of one-dimensional unsteady fluid motion in a heat-conducting viscous porous medium.

Keywords: Darcy's law, poroelasticity, filtration, solvability, thermal conductivity.

UDC: 517.9

Received: 10.08.2020
Received in revised form: 09.09.2020
Accepted: 20.10.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-6-763-773



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© Steklov Math. Inst. of RAS, 2024