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

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • J. Vovelle

    (Antenne de Bretagne, Campus de Ker Lann, ENS Cachan IRMAR/ENS Cachan)

  • S. Martin

    (Université Paris-Sud-Bât. 425, Laboratoire de Mathématiques)

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.

Suggested Citation

  • J. Vovelle & S. Martin, 2008. "Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 1069-1076, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_114
    DOI: 10.1007/978-3-540-75712-2_114
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