Local existence and stability for a hyperbolic-elliptic system modeling two-phase reservoir flow

A system arising in the modeling of oil-recovery processes is analyzed. It consists of a hyperbolic conservation law governing the saturation and an elliptic equation for the pressure. By an operator splitting approach, an approximate solution is constructed. For this approximation appropriate a-pri...

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Bibliographic Details
Main Authors: H. J. Schroll, A. Tveito
Format: Article
Language:English
Published: Texas State University 2000-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/04/abstr.html