The generalized Buckley-Leverett System. Solvability

Published 24 Nov 2010 in math.AP | (1011.5461v1)

Abstract: 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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