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

Martin, S.; Vovelle, J.

doi:10.1090/S0033-569X-07-01061-7

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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