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

X. Cao, I.S. Pop

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13 Citations (Scopus)
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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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Porous Media Flow
Capillarity
Two-phase Flow
Hysteresis
Two phase flow
Weak Solution
Porous materials
Uniqueness
Elliptic Systems
Porous Media
Model

Cite this

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title = "Two-phase porous media flows with dynamic capillary effects and hysteresis : uniqueness of weak solutions",
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.",
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Two-phase porous media flows with dynamic capillary effects and hysteresis : uniqueness of weak solutions. / Cao, X.; Pop, I.S.

In: Computers and Mathematics with Applications, Vol. 69, No. 7, 2015, p. 688-695.

Research output: Contribution to journalArticleAcademicpeer-review

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.

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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.

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DO - 10.1016/j.camwa.2015.02.009

M3 - Article

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

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