Existence and uniqueness of solutions for miscible liquids model in porous media
In this article, we study the existence and uniqueness of solutions for miscible liquids model in porous media. The model describing the phenomenon is a system of equations coupling hydrodynamic equations with concentration equation taking into account the Korteweg stress. We assume that the...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Texas State University
2013-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/254/abstr.html |
| _version_ | 1819213319166230528 |
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| author | Karam Allali |
| author_facet | Karam Allali |
| author_sort | Karam Allali |
| collection | DOAJ |
| description | In this article, we study the existence and uniqueness of
solutions for miscible liquids model in porous media.
The model describing the phenomenon is a system of equations
coupling hydrodynamic equations with concentration equation
taking into account the Korteweg stress. We assume that the
fluid is incompressible and its motion is described by the
Darcy law. We prove the existence and uniqueness of global
solutions for the initial boundary value problem. |
| first_indexed | 2024-12-23T06:56:58Z |
| format | Article |
| id | doaj.art-e518a4c02a46453dae54ea7b55e4d0ed |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-23T06:56:58Z |
| publishDate | 2013-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e518a4c02a46453dae54ea7b55e4d0ed2022-12-21T17:56:18ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-11-012013254,17Existence and uniqueness of solutions for miscible liquids model in porous mediaKaram Allali0 Univ. Hassan II, Mohammedia, Morocco In this article, we study the existence and uniqueness of solutions for miscible liquids model in porous media. The model describing the phenomenon is a system of equations coupling hydrodynamic equations with concentration equation taking into account the Korteweg stress. We assume that the fluid is incompressible and its motion is described by the Darcy law. We prove the existence and uniqueness of global solutions for the initial boundary value problem.http://ejde.math.txstate.edu/Volumes/2013/254/abstr.htmlDarcy approximationKorteweg stressmiscible liquidsporous media |
| spellingShingle | Karam Allali Existence and uniqueness of solutions for miscible liquids model in porous media Electronic Journal of Differential Equations Darcy approximation Korteweg stress miscible liquids porous media |
| title | Existence and uniqueness of solutions for miscible liquids model in porous media |
| title_full | Existence and uniqueness of solutions for miscible liquids model in porous media |
| title_fullStr | Existence and uniqueness of solutions for miscible liquids model in porous media |
| title_full_unstemmed | Existence and uniqueness of solutions for miscible liquids model in porous media |
| title_short | Existence and uniqueness of solutions for miscible liquids model in porous media |
| title_sort | existence and uniqueness of solutions for miscible liquids model in porous media |
| topic | Darcy approximation Korteweg stress miscible liquids porous media |
| url | http://ejde.math.txstate.edu/Volumes/2013/254/abstr.html |
| work_keys_str_mv | AT karamallali existenceanduniquenessofsolutionsformiscibleliquidsmodelinporousmedia |