@Article{IJNAM-9-562,
author = {Coclite , G. M.Karlsen , K. H.Mishra , S. and Risebro , N. H.},
title = {A Hyperbolic-Elliptic Model of Two-Phase Flow in Porous Media — Existence of Entropy Solutions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {3},
pages = {562--583},
abstract = {<p style="text-align: justify;">We consider the flow of two-phases in a porous medium and
propose a modified version of the fractional flow model for incompressible,
two-phase flow based on a Helmholtz regularization of the Darcy phase velocities.
We show the existence of global-in-time entropy solutions for this model
with suitable assumptions on the boundary conditions. Numerical experiments
demonstrating the approximation of the classical two-phase flow equations with
the new model are presented.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/647.html}
}