Stability and convergence of discrete kinetic approximations to an initial-boundary value problem for conservation laws
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- by Vuk Milišić PDF
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Abstract:
We present some new convergence results for a discrete velocities BGK approximation to an initial boundary value problem for a single hyperbolic conservation law. In this paper we show stability and convergence toward a unique entropy solution in the general $BV$ framework without any restriction either on the data of the limit problem or on the set of velocity of the BGK model.References
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Additional Information
- Vuk Milišić
- Affiliation: Mathématiques Appliquées de Bordeaux UMR(54 66), Université Bordeaux 1, 351 cours de la Libération, F-33405 Talence, France
- Email: milisic@math.u-bordeaux.fr, vuk.milisic@epfl.ch
- Received by editor(s): July 22, 2001
- Published electronically: January 17, 2003
- Communicated by: Suncica Canic
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1727-1737
- MSC (2000): Primary 35L65; Secondary 35B25
- DOI: https://doi.org/10.1090/S0002-9939-03-06961-2
- MathSciNet review: 1955259