On the existence of global solution of the system of equations of liquid movement in porous medium
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 g...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2021-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/10/e3sconf_icies2020_00095.pdf |
| _version_ | 1811337633933033472 |
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| author | Tokareva Margarita Papin Alexander |
| author_facet | Tokareva Margarita Papin Alexander |
| author_sort | Tokareva Margarita |
| collection | DOAJ |
| description | 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 poroelastiс properties. The transition from Euler variables to Lagrangian variables is used in the proof of the theorems. |
| first_indexed | 2024-04-13T17:57:42Z |
| format | Article |
| id | doaj.art-2d9f7de4b1364d139c6cf9d438423d11 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-04-13T17:57:42Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-2d9f7de4b1364d139c6cf9d438423d112022-12-22T02:36:24ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012340009510.1051/e3sconf/202123400095e3sconf_icies2020_00095On the existence of global solution of the system of equations of liquid movement in porous mediumTokareva Margarita0Papin Alexander1Institute Mathematics and Information Technology, Department of Differential EquationsInstitute Mathematics and Information Technology, Department of Differential EquationsThe 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 poroelastiс properties. The transition from Euler variables to Lagrangian variables is used in the proof of the theorems.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/10/e3sconf_icies2020_00095.pdf |
| spellingShingle | Tokareva Margarita Papin Alexander On the existence of global solution of the system of equations of liquid movement in porous medium E3S Web of Conferences |
| title | On the existence of global solution of the system of equations of liquid movement in porous medium |
| title_full | On the existence of global solution of the system of equations of liquid movement in porous medium |
| title_fullStr | On the existence of global solution of the system of equations of liquid movement in porous medium |
| title_full_unstemmed | On the existence of global solution of the system of equations of liquid movement in porous medium |
| title_short | On the existence of global solution of the system of equations of liquid movement in porous medium |
| title_sort | on the existence of global solution of the system of equations of liquid movement in porous medium |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/10/e3sconf_icies2020_00095.pdf |
| work_keys_str_mv | AT tokarevamargarita ontheexistenceofglobalsolutionofthesystemofequationsofliquidmovementinporousmedium AT papinalexander ontheexistenceofglobalsolutionofthesystemofequationsofliquidmovementinporousmedium |