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CONVERGENCE OF THIN FILM APPROXIMATION FOR A SCALAR CONSERVATION LAW

FELIX OTTO

Institute for Applied Mathematics, University of Bonn, Wegelerstr. 10, D–53115 Bonn, Germany

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and

MICHAEL WESTDICKENBERG

Institute for Applied Mathematics, University of Bonn, Wegelerstr. 10, D–53115 Bonn, Germany

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https://doi.org/10.1142/S0219891605000427Cited by:4 (Source: Crossref)

Abstract

In this paper we consider the thin film approximation of a 1D scalar conservation law with strictly convex flux. We prove that the sequence of approximate solutions converges to the unique Kružkov solution.

Keywords:

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