Abstract:
The initial-boundary value problem for the system of one-dimensional motion of a viscous liquid in a deformable viscous porous medium is considered. Local theorem of existence and uniqueness of the problem is proved in the case of compressible liquid. In the case of incompressible liquid the theorem of global solvability in time is proved in Holder classes.
Keywords:
Darcy's law, poroelasticity, filtration, global solvability, porosity.
Citation:
M. A. Tokareva, A. A. Papin, “On the existence of global solution of the system of equations of one-dimensional motion of a viscous liquid in a deformable viscous porous medium”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1397–1422
\Bibitem{TokPap21}
\by M.~A.~Tokareva, A.~A.~Papin
\paper On the existence of global solution of the system of equations of one-dimensional motion of a viscous liquid in a deformable viscous porous medium
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1397--1422
\mathnet{http://mi.mathnet.ru/semr1447}
\crossref{https://doi.org/10.33048/semi.2021.18.106}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000734395000026}
Linking options:
https://www.mathnet.ru/eng/semr1447
https://www.mathnet.ru/eng/semr/v18/i2/p1397
This publication is cited in the following 1 articles:
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
Citation in format AMSBIB
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