Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media. (August 2015)

• Record Type: Journal Article
• Authors: Cao, X.; Pop, I.S.
• Is Part Of: Applied mathematics letters. Volume 46(2015:Aug.)
• Page Start: 25
• Page End: 30
• Publication Date: 2015-08
• Subjects: Pseudo-parabolic equation -- Dynamic capillary pressure -- Two-phase flow -- Weak solution -- Uniqueness; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2015.01.022
• Languages: English
• ISSNs: 0893-9659

Abstract

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.