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

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

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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 language	English
Place of Publication	Eindhoven
Publisher	Technische Universiteit Eindhoven
Number of pages	16
Publication status	Published - 2010

Publication series

Name	CASA-report
Volume	1044
ISSN (Print)	0926-4507

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686546Final published version, 233 KB

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

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.",

author = "Y. Fan and I.S. Pop",

year = "2010",

language = "English",

series = "CASA-report",

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AU - Fan, Y.

AU - Pop, I.S.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

M3 - Report

T3 - CASA-report

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

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -