139 citations · 275 across the 13 of their papers we have counts for
3 papers · 1 filter
Study of a model equation in detonation theory: multidimensional effects
Luiz M. Faria, Aslan R. Kasimov, Rodolfo R. Rosales
We extend the reactive Burgers equation presented in Kasimov et al. Phys. Rev. Lett., 110 (2013) and Faria et al. SIAM J. Appl. Maths, 74 (2014), to include multidimensional effect…
Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models
Benjamin Seibold, Morris R. Flynn, Aslan R. Kasimov +1
Fundamental diagrams of vehicular traffic flow are generally multi-valued in the congested flow regime. We show that such set-valued fundamental diagrams can be constructed systema…
On "jamitons," self-sustained nonlinear traffic waves
Morris R. Flynn, Aslan R. Kasimov, Jean-Christophe Nave +2
"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 rel…