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LARGE TIME BEHAVIOR OF NUMERICAL SOLUTIONS OF SCALAR CONSERVATION LAWS

FRÉDÉRIC LAGOUTIÈRE

Université Denis Diderot (Paris-VII) and Laboratoire Jacques-Louis Lions, UMR 7598, Paris, F-75005, France

https://doi.org/10.1142/S021989160600094XCited by:0 (Source: Crossref)

Abstract

We study the large time behavior of entropic approximate solutions to one-dimensional, hyperbolic conservation laws with periodic initial data. Under mild assumptions on the numerical scheme, we prove the asymptotic convergence of the discrete solutions to a time- and space-periodic solution.

Keywords:

AMSC: 58J45, 35L40, 35L60, 35L65, 76M12

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Vol. 03, No. 04

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LARGE TIME BEHAVIOR OF NUMERICAL SOLUTIONS OF SCALAR CONSERVATION LAWS

Abstract

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