Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain

J. Vovelle () and S. Martin ()
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J. Vovelle: Antenne de Bretagne, Campus de Ker Lann, ENS Cachan IRMAR/ENS Cachan
S. Martin: Université Paris-Sud-Bât. 425, Laboratoire de Mathématiques

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 1069-1076 from Springer

Abstract: We study the large-time behavior of entropy solutions to scalar conservation laws on a one-dimensional bounded domain. We show that, if the boundary data are stabilizing (in the sense that they allow for the existence of a stationary solution), then the entropy solution converges to a stationary solution to the problem.

Keywords: Asymptotic Behavior; Stationary Solution; Dirichlet Problem; Boundary Data; Travel Wave Solution (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_114

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DOI: 10.1007/978-3-540-75712-2_114

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