On "jamitons," self-sustained nonlinear traffic waves

Details On "jamitons," self-sustained nonlinear traffic waves On "jamitons," self-sustained nonlinear traffic waves

2008-09-17

arxiv.org/abs/0809.2828v2

Mathematics

Analysis of PDEs

6 pages, 4 figures

Scientific paper

"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.

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