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

Y. Fan, I.S. Pop

Research output: Book/ReportReportAcademic

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Abstract

In this paper, we investigate a class of degenerate 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
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages16
Publication statusPublished - 2010

Publication series

NameCASA-report
Volume1044
ISSN (Print)0926-4507

Fingerprint

Pseudoparabolic Equations
Degenerate Equations
Flow in Porous Media
Existence-uniqueness
Time Discretization
Two-phase Flow
Weak Solution
Euler
Error Estimates
Existence and Uniqueness
Discretization
Model
Class

Cite this

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A class of degenerate pseudo-parabolic equations : existence, uniqueness of weak solutions, and error estimates for the Euler-implicit discretization. / Fan, Y.; Pop, I.S.

Eindhoven : Technische Universiteit Eindhoven, 2010. 16 p. (CASA-report; Vol. 1044).

Research output: Book/ReportReportAcademic

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AU - Pop, I.S.

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PB - Technische Universiteit Eindhoven

CY - Eindhoven

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