The generalized Buckley-Leverett System. Solvability
Nikolai Chemetov, Wladimir Neves
TL;DR
This paper introduces a new mathematical approach to modeling two-phase flows in porous media, proving the solvability of the generalized Buckley-Leverett system using the kinetic method.
Contribution
It presents a novel formulation of the Buckley-Leverett system and establishes solvability results through the kinetic method, advancing theoretical understanding.
Findings
Proved solvability of the generalized Buckley-Leverett system
Developed a new approach using the kinetic method
Enhanced mathematical understanding of two-phase flow models
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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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Navier-Stokes equation solutions · Nonlinear Partial Differential Equations