Two-phase porous media flows with dynamic capillary effects and hysteresis : uniqueness of weak solutions

X. Cao, I.S. Pop

Research output: Contribution to journalArticleAcademicpeer-review

16 Citations (Scopus)
4 Downloads (Pure)

Abstract

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.
Original languageEnglish
Pages (from-to)688-695
JournalComputers and Mathematics with Applications
Volume69
Issue number7
DOIs
Publication statusPublished - 2015

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