Mathematical analysis of the two-phase two-component fluid flow in
porous media by an artificial persistent variables approach
- Anja Vrbaški
, - Ana Žgaljić Keko
![](https://d197for5662m48.cloudfront.net/assets/icons/omniauth/orcid-ca37582cd91a671ed5cec57770e0e96c01b4b79b8b5b75d8598fc1ddac18c974.svg)
Abstract
This paper deals with the existence of weak solutions of the system that
describes the two-phase two-component fluid flow in porous media. Both
two-phase and possible one-phase flow regions are taken into account.
Our research is based on a global pressure, introduced in3, an
artificial variable that allows us to decouple the original equations.
We introduce another variable that does not have physical meaning in
one-phase region and name it capillary pseudo-pressure. By using these
two variables we rewrite system's equations in a fully equivalent form.
This allows us to derive an existence result for weak solutions in more
tractable way compared to15.17 Feb 2024Submitted to Mathematical Methods in the Applied Sciences 20 Feb 2024Submission Checks Completed
20 Feb 2024Assigned to Editor
23 Feb 2024Review(s) Completed, Editorial Evaluation Pending
13 Jun 20241st Revision Received
19 Jun 2024Reviewer(s) Assigned
27 Jun 2024Review(s) Completed, Editorial Evaluation Pending