A Fluid Dynamic Model for T-Junctions

Motivated by real road junctions, we consider a new fluid dynamic model for traffic flow on networks. In particular at T-junctions, beside some flows distribution and/or merging, there happen some interactions of cars coming from different roads and going to different destinations. After determining some rules to uniquely solve Riemann problems, we prove existence of solutions on complete networks for initial data with bounded variation (and their limits in Lloc).