A multiscale second order model for the interaction between AV and traffic flows: analysis and existence of solutions
Résumé
Autonomous vehicles (AV) offer new avenues for transportation applications and call for a new understanding of traffic dynamics when both regular cars and AV coexist. Many works looked at this question with a microscopic approach where both the AVs and the regular cars are modelled as ODEs. Here, present a second order model describing the interaction between a macroscopic traffic flow described by PDEs and autonomous vehicles (AV) described by ODEs. This model is inspired by recent development on moving bottlenecks for scalar conservation laws and is intrinsically multiscale. We give an analysis of this model and we show the existence of weak solutions with bounded variations.
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