Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function

Tore Gimse, Nils Henrik Risebro

Type: Article

Publication Date: 1992-05-01

Citations: 168

DOI: https://doi.org/10.1137/0523032

Abstract

The Cauchy problem is solved for a conservation law arising in oil reservoir simulation where the flux function may depend discontinuously on the space variable. To do this front tracking is used as a method of analysis.

Locations

Duo Research Archive (University of Oslo) - View - PDF
SIAM Journal on Mathematical Analysis - View

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+ PDF Chat	A Numerical Method for a System of Equations Modelling one-Dimensional three-Phase Flow in a Porous Medium	1989	Tore Gimse
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+	Global solution of the cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws	1982	Blake Temple
+	The structure of asymptotic states in a singular system of conservation laws	1990	Eli L. Isaacson Blake Temple
+	A numerical method for first order nonlinear scalar conservation laws in one-dimension	1988	Helge Holden Lars Holden Raphaël Høegh-Krohn
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