Seminar Analysis: Maria Laura Delle Monache (INRIA Sophia Antipolis - OPALE Project-Team)

Traffic flow modeling by conservation laws

Several phenomena in traffic flow can be modeled through the use of conservation laws. We present two PDE-ODE coupled models that are used in different traffic situations. First, we consider a model that applies to moving bottlenecks and then we consider a model that applies in control problems for highway ramp metering. We provide a rigorous analytical framework for the Cauchy and Riemann problems and we show some numerical simulations.

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