TY - JOUR
T1 - Two-phase porous media flows with dynamic capillary effects and hysteresis : uniqueness of weak solutions
AU - Cao, X.
AU - Pop, I.S.
PY - 2015
Y1 - 2015
N2 - In this paper, we obtain the uniqueness of weak solutions for a two phase flow model in a porous medium. A particularity of the model is that the dynamic effects and hysteresis are included in the capillary pressure. To prove the uniqueness, we define an auxiliary elliptic system.
Keywords: Dynamic capillary pressure, two-phase flow, hysteresis, weak solution, uniqueness.
AB - In this paper, we obtain the uniqueness of weak solutions for a two phase flow model in a porous medium. A particularity of the model is that the dynamic effects and hysteresis are included in the capillary pressure. To prove the uniqueness, we define an auxiliary elliptic system.
Keywords: Dynamic capillary pressure, two-phase flow, hysteresis, weak solution, uniqueness.
U2 - 10.1016/j.camwa.2015.02.009
DO - 10.1016/j.camwa.2015.02.009
M3 - Article
VL - 69
SP - 688
EP - 695
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
IS - 7
ER -