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arxiv: 1011.5461 · v1 · pith:JIPSG4W7new · submitted 2010-11-24 · 🧮 math.AP

The generalized Buckley-Leverett System. Solvability

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keywords solvabilityproblemsystemapproachbuckley-buckley-leverettconsideringdeduced
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We propose a new approach to the mathematical modeling of the Buckley- Leverett system, which describes two-phase flows in porous media. Considering the initial-boundary value problem for a deduced model, we prove the solvability of the problem. The solvability result relies mostly on the kinetic method.

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