12 citations · 45 across the 23 of their papers we have counts for
28 papers
Properties of Measure Controls and Their Trajectories
Mauro Garavello, Xiaoqian Gong, Benedetto Piccoli
This paper deals with the concepts of measure controls and of measure vector fields, within the mathematical framework of measure differential equations (MDEs), recently proposed i…
Coexisting Automated and Human-Driven Vehicles: Well-Posedness of a Mixed Nonlocal-Local Traffic Model
Rinaldo M. Colombo, Mauro Garavello, Claudia Nocita
We present a macroscopic traffic flow model where standard vehicles coexist with vehicles informed on the traffic distribution. The resulting mixed nonlocal-local integro-different…
On the structure of optimal solutions of conservation laws at a junction with one incoming and one outgoing arc
Fabio Ancona, Annalisa Cesaroni, Giuseppe Maria Coclite +1
We consider a min-max problem for strictly concave conservation laws on a 1-1 network, with inflow controls acting at the junction. We investigate the minimization problem for a fu…
General Stability Estimates in NonLocal Traffic Models for Several Populations
Rinaldo M. Colombo, Mauro Garavello, Claudia Nocita
We prove global existence, uniqueness and $\L1$ stability of solutions to general systems of nonlocal conservation laws modeling multiclass vehicular traffic. Each class follows it…
Non Local Hyperbolic Dynamics of Clusters
Rinaldo M. Colombo, Mauro Garavello
The formation, movement and gluing of clusters can be described through a system of non local balance laws. Here, the well posedness of this system is obtained, as well as various…
Feedback stabilization for entropy solutions of a 2x2 hyperbolic system of conservation laws at a junction
Giuseppe Maria Coclite, Nicola De Nitti, Mauro Garavello +1
We consider the p-system in Eulerian coordinates on a star-shaped network. Under suitable transmission conditions at the junction and dissipative boundary conditions in the exterio…