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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 2, Pages 81–93
DOI: https://doi.org/10.33048/sibjim.2019.22.208 (Mi sjim1045) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Global solvability of a system of equations of one-dimensional motion of a viscous fluid in a deformable viscous porous medium

M. A. Tokareva, A. A. Papin

Altai State University, pr. Lenina 61, 656049 Barnaul
Full-text PDF (249 kB) Citations (14)
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DOI: https://doi.org/10.33048/sibjim.2019.22.208
Abstract: The mathematical statement is given for the problem of filtration of a viscous fluid in a deformable porous medium that possesses predominantly viscous properties. Some theorems are proved on local solvability and existence of a global-in-time solution in the Hölder classes for the problem.
Keywords: Darcy law, poroelasticity, filtration, global solvability, uniqueness.
Received: 03.08.2018
Revised: 11.01.2019
Accepted: 14.03.2019
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 2, Pages 350–362
DOI: https://doi.org/10.1134/S1990478919020169
Bibliographic databases:
Document Type: Article
UDC: 517.95:532.546
Language: Russian
Citation: M. A. Tokareva, A. A. Papin, “Global solvability of a system of equations of one-dimensional motion of a viscous fluid in a deformable viscous porous medium”, Sib. Zh. Ind. Mat., 22:2 (2019), 81–93; J. Appl. Industr. Math., 13:2 (2019), 350–362
Citation in format AMSBIB
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\by M.~A.~Tokareva, A.~A.~Papin
\paper Global solvability of a system of equations of one-dimensional motion of a viscous fluid in a deformable viscous porous medium
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 2
\pages 81--93
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\crossref{https://doi.org/10.33048/sibjim.2019.22.208}
\elib{https://elibrary.ru/item.asp?id=41641475}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 2
\pages 350--362
\crossref{https://doi.org/10.1134/S1990478919020169}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067309726}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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