A numerical scheme for the one-dimensional pressureless gases system
نویسندگان
چکیده
In this work, we investigate the numerical approximation of the one-dimensional pressureless gases system. After briefly recalling the mathematical framework of the duality solutions introduced by Bouchut and James [6], we point out that the upwind scheme for density and momentum does not satisfy the one-sided Lipschitz (OSL) condition on the expansion rate required for the duality solutions. Then we build a diffusive scheme which allows the OSL condition to be recovered by following the strategy described in [9] for the continuous model.
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Asymptotic Behavior of a Diffusive Scheme Solving the Inviscid One-dimensional Pressureless Gases System
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