On the existence of global solution of the system of equations of liquid movement in porous medium

On the existence of global solution of the system of equations of liquid movement in porous medium Full article

Conference

9th International Conference on 'Innovation and Modern Applied Science in Environmental Studies
25-27 Dec 2020 , Kenitra

Journal

E3S Web of Conferences
, E-ISSN: 2267-1242

Output data

Year: 2021, Volume: 234, Article number : 00095, Pages count : DOI: 10.1051/e3sconf/202123400095

Authors

Tokareva M. ^1,2 , Papin A. ¹

Affiliations

1	Institute Mathematics and Information Technology, Department of Differential Equations, 61, Barnaul, Lenina, 656049, Russian Federation
2	Lavrentyev Institute of Hydrodynamics SB RAS, 15 Lavrentieva, Novosibirsk, 630090, Russian Federation

The initial-boundary value problem for the system of one-dimensional isothermal motion of viscous liquid in deformable viscous porous medium is considered. Local theorem of existence and uniqueness of problem is proved in case of compressible liquid. In case of incompressible liquid the theorem of global solvability in time is proved in Holder classes. A feature of the model of fluid filtration in a porous medium considered in this paper is the inclusion of the mobility of the solid skeleton and its poroelastic properties. The transition from Euler variables to Lagrangian variables is used in the proof of the theorems. © 2021 The Authors, published by EDP Sciences.

Tokareva M. , Papin A.
On the existence of global solution of the system of equations of liquid movement in porous medium
E3S Web of Conferences. 2021. V.234. 00095 . DOI: 10.1051/e3sconf/202123400095 Scopus РИНЦ OpenAlex

≡ Scopus:	2-s2.0-85100851934
≡ Elibrary:	46743745
≡ OpenAlex:	W3126742876