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...
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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 |
| Summary: | 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. |
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| ISSN: | 1072-6691 |