We describe the dynamics of the interface between two immiscible fluids of different densities in three dimensional porous media. This generalizes previous results given in two dimensions in which existence of the stream function played a substantial role. The most important contribution of the paper is the introduction of a method which avoids usage of the stream function.
Submitted April 18, 2017. Published July 30, 2017.
Math Subject Classifications: 76S05, 76T10.
Key Words: Three dimensional flow; Darcy law; immiscible flow.
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| Nikola Konatar |
Faculty of Mathematics and Natural Sciences
University of Montenegro
Cetinjski put bb, 81000 Podgorica, Montenegro
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