Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions

Authors: S. Martin and J. Vovelle
Journal: Quart. Appl. Math. 65 (2007), 425-450
MSC (2000): Primary 35L65, 35B40
DOI: https://doi.org/10.1090/S0033-569X-07-01061-7
Published electronically: July 11, 2007
MathSciNet review: 2354881
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Abstract: We study the large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions. Under structural hypotheses on the flux of the equation, we describe the stationary solutions and show the convergence of the entropy solution to a stationary one. Numerical tests illustrate the theoretical results.

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S. Martin
Affiliation: INSA de Lyon Institut Camille Jordan, CNRS UMR 5208, Bât. L. de Vinci, 21 av. Jean Capelle, F-69621 Villeurbanne cedex, France
Email: sebastien.martin@insa-lyon.fr

J. Vovelle
Affiliation: ENS Cachan Antenne de Bretagne IRMAR, CNRS UMR 6625, Avenue Robert Schuman, Campus de Ker Lann, F-35170 Bruz, France
Email: julien.vovelle@bretagne.ens-cachan.fr

DOI: https://doi.org/10.1090/S0033-569X-07-01061-7
Received by editor(s): February 1, 2006
Published electronically: July 11, 2007
Article copyright: © Copyright 2007 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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