A class of pseudo-parabolic equations: existence, uniqueness of weak solutions, and error estimates for the Euler-implicit discretization

Y. Fan, I.S. Pop

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25 Citations (Scopus)

Abstract

In this paper, we investigate a class of pseudo-parabolic equations. Such equations model two-phase flow in porous media where dynamic effects are included in the capillary pressure. The existence and uniqueness of a weak solution are proved, and error estimates for an Euler implicit time discretization are obtained.
Original languageEnglish
Pages (from-to)2329-2339
JournalMathematical Methods in the Applied Sciences
Volume34
Issue number18
DOIs
Publication statusPublished - 2011

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