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- W2767362050 abstract "We study a Follow-the-Leader (FtL) ODE model for traffic flow with rough road condition, and analyze stationary traveling wave profiles where the solutions of the FtL model trace along, near the jump in the road condition. We derive a discontinuous delay differential equation (DDDE) for these profiles. For various cases, we obtain results on existence, uniqueness and local stability of the profiles. The results here offer an alternative approximation, possibly more realistic than the classical vanishing viscosity approach, to the conservation law with discontinuous flux for traffic flow." @default.
- W2767362050 created "2017-11-17" @default.
- W2767362050 creator A5005843205 @default.
- W2767362050 date "2017-11-06" @default.
- W2767362050 modified "2023-10-14" @default.
- W2767362050 title "Traveling Wave Profiles for a Follow-the-Leader Model for Traffic Flow with Rough Road Condition" @default.
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- W2767362050 doi "https://doi.org/10.48550/arxiv.1711.01819" @default.
- W2767362050 hasPublicationYear "2017" @default.
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