Article ID Journal Published Year Pages File Type
1707718 Applied Mathematics Letters 2015 6 Pages PDF
Abstract

In this paper, we prove the uniqueness of weak solutions for a pseudo-parabolic equation modeling two-phase flow in a porous medium, where dynamic effects are included in the capillary pressure. We transform the equation into an equivalent system, and then prove the uniqueness of weak solutions to the system which leads to the uniqueness of weak solutions for the original model.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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