Asymptotic behavior of Riemann solutions for the inhomogeneous Aw-Rascle-Zhang traffic model with the logarithmic equation of state
Author:
Funder
Natural Science Foundation of Shandong Province
Publisher
Elsevier BV
Subject
Applied Mathematics,Analysis
Reference39 articles.
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2. On the modeling of traffic and crowds: a survey of models, speculations and perspectives;Bellomo;SIAM Rev.,2011
3. Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams;Berthelin;Netw. Heterog. Media,2017
4. Formation of δ-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids;Chen;SIAM J. Math. Anal.,2003
5. Approaching Chaplygin pressure limit of solutions to the Aw-Rascle model;Cheng;J. Math. Anal. Appl.,2014
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1. The asymptotic behavior of Riemann solutions for the Aw-Rascle-Zhang traffic flow model with the polytropic and logarithmic combined pressure term;Applicable Analysis;2024-07-06
2. Concentration and cavitation phenomena of Riemann solutions for the generalized Chaplygin gas equations under the flux approximation;Physics of Fluids;2024-07-01
3. The vanishing pressure limits of Riemann solutions for the Aw-Rascle hydrodynamic traffic flow model with the logarithmic equation of state;Chaos, Solitons & Fractals;2024-04
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