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

C. M. Cuesta ()
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C. M. Cuesta: University of Nottingham, Department of Theoretical Mechanics School of Mathematical Sciences

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 431-438 from Springer

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.

Keywords: Nonlinear Stability; Entropy Solution; Relaxation Model; Viscous Shock Wave; Discrete Velocity Model (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_40

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DOI: 10.1007/978-3-540-75712-2_40

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