The generalized Buckley-Leverett System. Solvability

2010/11/24 by Nikolai V. Chemetov, Nikolai Chemetov, Chemetov, Nikolai +2
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1011.5461

26 pages

arxiv created 2010/11/24 · arxiv updated 2010/11/25

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.

Related

• Bounded domain problem for the modified Buckley-Leverett equation
• The Buckley-Leverett Equation with Dynamic Capillary Pressure
• Global Buckley--Leverett for Multicomponent Flow in Fractured Media: Isothermal Equation-of-State Coupling and Dynamic Capillarity
• The Hele-Shaw free boundary limit of Buckley-Leverett System
• Runge-Kutta symmetric interior penalty discontinuous Galerkin methods for modified Buckley-Leverett equations