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 -