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- W4385807557 abstract "AbstractThis paper is mainly concerned with the Riemann problem for a hyperbolic system arising from a traffic flow model, whose Riemann solutions are obtained constructively in terms of the fine analysis of elementary waves. Especially, the Dirac delta shock wave is involved in the Riemann solution at some specially designated initial data. Then, the limiting behavior of Riemann solutions is investigated carefully from the current system to the pressureless Euler system by sending the perturbed parameter tend to zero, in which more complicated nonlinear phenomena of cavitation and concentration than before can be observed and analyzed during this limiting process. Finally, several representative numerical examples are offered to confirm our theoretical results.Keywords: Riemann problemdelta shockvacuum statehyperbolic conservation law2010 MSCs: 35L6535L6776N15 AcknowledgmentsThe authors would like to express their deepest gratitude to the three anonymous referees for all the invaluable corrections and suggestions that have significantly improved the final outcome of this work.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis work is partially supported by Natural Science Foundation of Shandong Province (ZR2023MA060, ZR2019MA058)." @default.
- W4385807557 created "2023-08-15" @default.
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- W4385807557 date "2023-08-14" @default.
- W4385807557 modified "2023-10-02" @default.
- W4385807557 title "Asymptotic behavior of Riemann solutions to a hyperbolic system arising from a traffic flow model" @default.
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- W4385807557 doi "https://doi.org/10.1080/17455030.2023.2247096" @default.
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