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.
The work was carried out in accordance with the State Assignment of the Russian Ministry of Science and Higher Education entitled ‘Modern methods of hydrodynamics for environmental management, industrial systems and polar mechanics’ (Govt. contract code: FZMW-2020-0008, 24 January 2020).
Received: 10.08.2020 Received in revised form: 09.09.2020 Accepted: 20.10.2020
Bibliographic databases:
Document Type:
Article
UDC:
517.9
Language: English
Citation:
Alexander A. Papin, Margarita A. Tokareva, Rudolf A. Virts, “Filtration of liquid in a non-isothermal viscous porous medium”, J. Sib. Fed. Univ. Math. Phys., 13:6 (2020), 763–773
\Bibitem{PapTokVir20}
\by Alexander~A.~Papin, Margarita~A.~Tokareva, Rudolf~A.~Virts
\paper Filtration of liquid in a non-isothermal viscous porous medium
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 6
\pages 763--773
\mathnet{http://mi.mathnet.ru/jsfu880}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-6-763-773}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000606215300010}
Linking options:
https://www.mathnet.ru/eng/jsfu880
https://www.mathnet.ru/eng/jsfu/v13/i6/p763
This publication is cited in the following 8 articles:
Rudolf Aleksandrovich Virts, “Osesimmetrichnaya zadacha filtratsii gaza v porouprugoi srede”, Comp. Contin. Mech., 17:4 (2025), 496
Maksim I. Ivanov, Igor A. Kremer, Yuri M. Laevsky, “Explicit–implicit schemes for non-isothermal filtration problem: Single-temperature model”, Journal of Computational and Applied Mathematics, 440 (2024), 115639
A. A. Papin, M. A. Tokareva, “Razreshimost odnomernoi zadachi dvizheniya zhidkosti v porouprugoi srede s pronitsaemymi granitsami”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2024, no. 90, 140–151
P.V. Gilev, A.A. Papin, “Existence of a Weak Solutionto the Two-Dimensional Filtration Problem in a Thin Poroelastic Layer”, Izvestiya AltGU, 2022, no. 4(126), 93
Miglena N. Koleva, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2528, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2022, 080023
R.A . Virts, “Numerical Solution of One Problem of Carbon Dioxide Injection into the Rock”, Izvestiya AltGU, 2021, no. 4(120), 81
A N Sibin, A A Papin, “Water movement in melting snow”, J. Phys.: Conf. Ser., 2057:1 (2021), 012030
R.A. Virts, “Numerical Solution of a Two-Dimensional Problem of Fluid Filtration in a Deformable Porous Medium”, Izvestiya AltGU, 2021, no. 1(117), 88
Citation in format AMSBIB
Contact us: