Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model
Author:
Funder
Natural Science Foundation of Shandong Province
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s40314-023-02515-3.pdf
Reference44 articles.
1. Aw A, Rascle M (2000) Resurrection of second order models of traffic flow. SIAM J Appl Math 60:916–938
2. Bellomo N, Dogbe C (2011) On the modeling of traffic and crowds: a survey of models, speculations and perspectives. SIAM Rev 53:409–463
3. Billot R, Chalons C, De Vuyst F, El Faouzi NE, Sau J (2010) A conditionally linearly stable second-order traffic model derived from a Vlasov kinetic description. Comp Rend Mecaniq 338:529–537
4. Chen GQ, Liu H (2003) Formation of $$\delta $$-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids. SIAM J Math Anal 34:925–938
5. Chen T, Jiang W, Li T (2021) On the stability of the improved Aw-Rascle-Zhang model with Chaplygin pressure. Nonlinear Anal RWA 62(2021):103351
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