TY - JOUR

T1 - Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media

AU - Cao, X.

AU - Pop, I.S.

PY - 2015

Y1 - 2015

N2 - 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.
Keywords: Pseudo-parabolic equation; Dynamic capillary pressure; Two-phase flow; Weak solution; Uniqueness

AB - 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.
Keywords: Pseudo-parabolic equation; Dynamic capillary pressure; Two-phase flow; Weak solution; Uniqueness

U2 - 10.1016/j.aml.2015.01.022

DO - 10.1016/j.aml.2015.01.022

M3 - Article

VL - 46

SP - 25

EP - 30

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

ER -