Abstract:
A system of equations of 1D non-stationary fluid motion in poroelastic medium is considered. Localization of solutions of the equations has been established by the integral energy estimates method.
Received: 22.06.2015 Received in revised form: 10.08.2015 Accepted: 20.09.2015
Document Type:
Article
UDC:
517.9
Language: English
Citation:
Margarita A. Tokareva, “Localization of solutions of the equations of filtration in poroelastic medium”, J. Sib. Fed. Univ. Math. Phys., 8:4 (2015), 467–477
\Bibitem{Tok15}
\by Margarita~A.~Tokareva
\paper Localization of solutions of the equations of filtration in poroelastic medium
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2015
\vol 8
\issue 4
\pages 467--477
\mathnet{http://mi.mathnet.ru/jsfu450}
\crossref{https://doi.org/10.17516/1997-1397-2015-8-4-467-477}
Linking options:
https://www.mathnet.ru/eng/jsfu450
https://www.mathnet.ru/eng/jsfu/v8/i4/p467
This publication is cited in the following 9 articles:
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
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. elektron. matem. izv., 18:2 (2021), 1397–1422
Margarita Tokareva, Alexander Papin, S. Bourekkadi, J. Abouchabaka, O. Omari, K. Slimani, “On the existence of global solution of the system of equations of liquid movement in porous medium”, E3S Web Conf., 234 (2021), 00095
M.A. Tokareva, “On Global Solvability of a Problem of a Viscous Liquid Motion in a Deformable Viscous Porous Medium”, Izvestiya AltGU, 2020, no. 1(111), 133
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”, J. Appl. Industr. Math., 13:2 (2019), 350–362
G M Sevastyanov, A M Sevastyanov, “Filtration and heat processes in lateral extrusion of plastically compressible materials”, J. Phys.: Conf. Ser., 1203 (2019), 012022
A. A. Papin, M. A. Tokareva, “Correctness of the initial-boundary problem of the compressible fluid filtration in a viscous porous medium”: A. Chesnokov, E. Pruuel, V. Shelukhin, All-Russian Conference With International Participation Modern Problems of Continuum Mechanics and Explosion Physics Dedicated to the 60th Anniversary of Lavrentyev Institute of Hydrodynamics SB RAS, Journal of Physics Conference Series, 894, IOP Publishing Ltd, 2017, UNSP 012070
A. A. Papin, A. N. Sibin, “Model isothermal internal erosion of soil”, All-Russian Conference on Nonlinear Waves: Theory and New Applications (Wave16), Journal of Physics Conference Series, 722, IOP Publishing Ltd, 2016, UNSP 012034
M. A. Tokareva, “Solvability of initial boundary value problem for the equations of filtration in poroelastic media”, All-Russian Conference on Nonlinear Waves: Theory and New Applications (Wave16), Journal of Physics Conference Series, 722, IOP Publishing Ltd, 2016, UNSP 012037
Citation in format AMSBIB
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