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The asymptotic limits of solutions to the Riemann problem for the scaled Leroux system
2017
Communications on Pure and Applied Analysis
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The Riemann problem for the scaled Leroux system is considered. It is proven rigorously that the Riemann solutions for the scaled Leroux system converge to the corresponding ones for a non-strictly hyperbolic system of conservation laws when the perturbation parameter tends to zero. In addition, some interesting phenomena are displayed in the limiting process, such as the formation of delta shock wave and a rarefaction (or shock) wave degenerates to be a contact discontinuity. 2000 Mathematics
doi:10.3934/cpaa.2018022
fatcat:obowmz4emrcibiy6dzbhe7f4ku