On "jamitons," self-sustained nonlinear traffic waves

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"Phantom jams," traffic blockages that arise without apparent cause, have long frustrated transportation scientists. Herein, we draw a novel homology between phantom jams and a related class of self-sustained transonic waves, namely detonations. Through this analogy, we describe the jam structure; favorable agreement with reported measurements from congested highways is observed. Complementary numerical simulations offer insights into the jams' development. Our results identify conditions likely to result in a dangerous concentration of vehicles and thereby lend guidance in traffic control and roadway design.
6 pages, 4 figures

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Analysis of PDEs, Mathematical Physics, Pattern Formation and Solitons, Physics and Society, 35Q80; 76H05; 90B20

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http://salesiana.dossiersoluciones.com/handle/123456789/169296

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.2828
 http://arxiv.org/abs/0809.2828

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arXiv