Nikola Konatar
Abstract:
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 email: nikola.k@ac.me |
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