A model of miscible liquids in porous media
In this article we study the interaction of two miscible liquids in porous media. The model consists of hydrodynamic equations with the Korteweg stress terms coupled with the reaction-diffusion equation for the concentration. We assume that the fluid is incompressible and its motion is describe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/264/abstr.html |
| Summary: | In this article we study the interaction of two miscible liquids in
porous media. The model consists of hydrodynamic equations with the
Korteweg stress terms coupled with the reaction-diffusion equation for
the concentration. We assume that the fluid is incompressible and its
motion is described by the Darcy law. The global existence and
uniqueness of solutions is established for some optimal conditions
on the reaction source term and external force functions.
Numerical simulations are performed to show the behavior of two
miscible liquids subjected to the Korteweg stress. |
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| ISSN: | 1072-6691 |