Additivity conjecture for colliding jamiton lengths
Additivity conjecture for colliding jamiton lengths
Let two jamitons collide, and denote their lengths before collision by and , and the length of the resulting jamiton by . Jamiton-length additivity conjecture. The length of the jamiton after colliding corresponds to the sum of the lengths of the colliding jamitons, that is, . Numerical simulations show a small normalized discrepancy, particularly for , and the source suggests that the remaining differences may be numerical errors; an exact additivity result is not established.
Sources & referencesView supporting material
Primary source
Raimund Bürger, Claudio Muñoz and Sebastián Tapia, “Interaction of jamitons in second-order macroscopic traffic models”, arXiv:2412.03721 (2024).
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