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Solutions with Concentration to the Riemann Problem for the One-Dimensional Chaplygin Gas Equations

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Journal of Mathematical Fluid Mechanics Aims and scope Submit manuscript

Abstract.

We investigate the Riemann problem for the one-dimensional Chaplygin gas dynamics equations. We show that it can be solved provided concentration effects are taken into account. Then, the Lax–Friedrichs scheme, with unit CFL number, is shown to be consistent with our solution to the Riemann problem.

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  1. CNRS FR 2800, Parc Valrose, F-06108, Nice, Cedex 2, France

    Y. Brenier

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  1. Y. Brenier
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Brenier, Y. Solutions with Concentration to the Riemann Problem for the One-Dimensional Chaplygin Gas Equations. J. math. fluid mech. 7 (Suppl 3), S326–S331 (2005). https://doi.org/10.1007/s00021-005-0162-x

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  • DOI: https://doi.org/10.1007/s00021-005-0162-x

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