1996 Asymptotic profile of solutions of conservation laws with source
Carlo Sinestrari
Differential Integral Equations 9(3): 499-525 (1996). DOI: 10.57262/die/1367969968

Abstract

We study the properties of the solutions of scalar conservation laws with a source term, assuming that the flux is convex and that the initial value has compact support. We show that their asymptotic profile consists in a number of rarefaction waves divided by regions where the solutions oscillate around an unstable zero of the source term.

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Carlo Sinestrari. "Asymptotic profile of solutions of conservation laws with source." Differential Integral Equations 9 (3) 499 - 525, 1996. https://doi.org/10.57262/die/1367969968

Information

Published: 1996
First available in Project Euclid: 7 May 2013

zbMATH: 0851.35090
MathSciNet: MR1371704
Digital Object Identifier: 10.57262/die/1367969968

Subjects:
Primary: 35L65
Secondary: 35B40

Rights: Copyright © 1996 Khayyam Publishing, Inc.

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Vol.9 • No. 3 • 1996
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