Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media |
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| Affiliation: | 1. CASA, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;2. Institute of Mathematics, Johannes Bruns GT. 12, University of Bergen, Bergen, Norway |
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| Abstract: | In this paper, we prove the uniqueness of weak solutions for a pseudo-parabolic equation modeling two-phase flow in a porous medium, where dynamic effects are included in the capillary pressure. We transform the equation into an equivalent system, and then prove the uniqueness of weak solutions to the system which leads to the uniqueness of weak solutions for the original model. |
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| Keywords: | Pseudo-parabolic equation Dynamic capillary pressure Two-phase flow Weak solution Uniqueness |
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