Two-phase two-component flow in porous medium in low solubility regime
Analysis of PDEs
2018-04-23 v1
Abstract
We study a system of equations governing liquid and gas flow in porous media. The gas phase is homogeneous while the liquid phase is composed of a liquid component and dissolved gas component. It is assumed that the gas component is weakly soluble in the liquid. We formulate a weak solution of the initial-boundary value problem and prove the existence theorem by passing to the limit in regularizations of the problem. Hypothesis of low solubility is given precise mathematical meaning.
Cite
@article{arxiv.1804.07517,
title = {Two-phase two-component flow in porous medium in low solubility regime},
author = {Mladen Jurak and Ivana Radisic and Ana Zgaljic Keko},
journal= {arXiv preprint arXiv:1804.07517},
year = {2018}
}