Acknowledgement:
the authors would like to thank the
Italian Ministry of University and Research (MUR) to
support this research with funds coming from PRIN Project 2022 PNRR (No.
2022XJ9SX entitled “Heterogeneity on the road - Modeling, analysis, control”).
PP =
PREPRINT [12 papers]
P2025 =
PUBLISHED in 2025 [1 paper]
P2024 =
PUBLISHED in 2024 [6 papers]
Last
update: November 4, 2024
[PP] F. Ancona, L. Caravenna, A. Marson
SBV regularity of entropy solutions for hyperbolic systems of balance laws with general flux function
preprint
[PP] L. Caravenna, E. Marconi, A. Pinamonti
Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group
preprint
[PP] G. Alberti, S. Bianchini, L. Caravenna
Eulerian, Lagrangian and broad continuous solutions to a balance law with non convex flux II
preprint
[PP] M. Briani, E. Cristiani, E. Onofri
Inverting
the fundamental diagram and forecasting boundary conditions: How
Machine Learning can improve macroscopic models for traffic flow
Advances in Computational Mathematics, in press
[PP] M. Briani, E. Cristiani, G. Franzina, F. L. Ignoto
Numerical computation of generalized Wasserstein distances with applications to traffic model analysis
preprint
[PP] L. Bartoli, S. Cacace, E. Cristiani, R. Ferretti
A macroscopic pedestrian model with variable maximal density
preprint
[PP] F. Ancona, L. Talamini
Backward-forward characterization of attainable set for conservation laws with spatially discontinuous flux*
preprint
[PP] F. Ancona, L. Talamini
Initial data identification for conservation laws with spatially discontinuous flux*
preprint
[PP] F. Ancona, M. Bentaibi, F. Rossi
Consensus and flocking under communication failure*
preprint
[PP] M. Bentaibi, L. Caravenna, J.-P. A. Gauthier, F. Rossi
Consensus in multiagent systems with lack of connection
preprint
[PP] F. Ancona, A. Bressan, E. Marconi, L. Talamini
Intermediate domains for scalar conservation laws*
preprint
[PP] M. Briani, G. Puppo, G. Visconti
On implicit time methods and discontinuous Galerkin space reconstruction for conservation laws*
preprint
[P2025] E. Cristiani, N. Loy, M. Menci, A. Tosin
Kinetic description and macroscopic limit of swarming dynamics with continuous leader–follower transitions
Mathematics and Computers in Simulation, 228 (2025), pp. 362-385
[P2024] F. Ancona, M. Bentaibi, F. Rossi
On the continuum limit of the Follow-the-Leader model and its stability
Discrete and Continuous Dynamical Systems, 2024
[P2024] A. Kamalifar, C. Cenedese, M. Cucuzzella, A. Ferrara
A new control-oriented METANET model to encompass service stations on highways*
Proc. of 2024 European Control Conference (ECC), Stockholm (Sweden), June 25-28, 2024, pp. 1387-1392
[P2024] S. Siri, C. Pasquale, S. Sacone, A. Ferrara
Traffic management of freeway networks in the era of connected and automated vehicles**
Reference Module in Materials Science and Materials Engineering, Elsevier, 2024
[P2024] C. Pasquale, S. Sacone, S. Siri and A. Ferrara
Pareto-optimal event-based scheme for station and inter-station control of electric and automated buses
IEEE Open Journal of Control Systems, 3 (2024), pp. 445-460
[P2024] F. Ancona, L. Caravenna, A. Marson
SBV-like regularity of entropy solutions for a scalar balance law
Commun. Math. Anal. Appl., 3 (2024), pp. 425-449
[P2024] L. V. Spinolo, F. Ancona, A. Marson
An informal account of recent results on initial-boundary value problems for systems of conservation laws
Commun. Math. Anal. Appl., 3 (2024), pp. 349-368