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Riemann problems and exact solutions to a traffic flow model
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10.1063/1.4813473
/content/aip/journal/jmp/54/7/10.1063/1.4813473
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/7/10.1063/1.4813473
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Behaviour in the (, ) of the GRP solution to model (1) . Regions and : congested equilibrium states characterized by (95) . Region : rarefaction-like wave determined by (96) . Region : transition central state (100) .

Image of FIG. 2.
FIG. 2.

Plot of ρ given by (96), (97), and (101) versus at different . Parameters choice: ρ = 4, ρ = 1, and = −0.1. The initial discontinuity at = 0 evolves into a rarefaction-like wave, while the discontinuity at = generates a shock wave.

Image of FIG. 3.
FIG. 3.

Plot of given by (96), (97), and (101) versus at different . The parameters ρ, ρ, and are chosen as in Figure 2 . The initial discontinuity at = 0 evolves into a rarefaction-like wave back propagating.

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/content/aip/journal/jmp/54/7/10.1063/1.4813473
2013-07-17
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Riemann problems and exact solutions to a traffic flow model
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/7/10.1063/1.4813473
10.1063/1.4813473
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