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A Note on L 1 Stability of Traveling Waves for a One-Dimensional BGK Model

In: Hyperbolic Problems: Theory, Numerics, Applications

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  • C. M. Cuesta

    (University of Nottingham, Department of Theoretical Mechanics School of Mathematical Sciences)

Abstract

We prove L 1 nonlinear stability of traveling waves for one-dimensional kinetic BGK models, regarded as relaxation models for scalar conservation laws with genuinely nonlinear fluxes. The proof relies on the L 1-contraction property and the monotonicity of the waves.

Suggested Citation

  • C. M. Cuesta, 2008. "A Note on L 1 Stability of Traveling Waves for a One-Dimensional BGK Model," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 431-438, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_40
    DOI: 10.1007/978-3-540-75712-2_40
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