Research

Research Interests

• Conservation laws with non local fluxes

• Traffic models

• Partial Differential Equations

• Kinetic theory

•  Multiscale conservation laws

Projects

GNAMPA project 2025: Analysis and Control of Evolutionary Models with Nonlocal Phenomena. Link

Progetto di Ateneo 2025: Leggi di conservazione con termini nonlocali e applicazioni al traffico veicolare. Link

Accepted for publication

1. D. Amadori, F. A. Chiarello,  C. Christoforou. Euler-flocking system with nonlocal dissipation in 1D: periodic entropy solutions. Link

Preprints

2. F. A. Chiarello, G. Girardi, S. Lucente. Blow up for nonlinear wave-type equations with perturbed derivatives. Link

3. F. A. Chiarello, S. Fagioli, M. Rosini. A  2 x 2 system of conservation laws with discontinuous flux and applications. Link

Journal Articles

1. F. A. Chiarello, A. Keimer. On the singular limit problem in nonlocal balance laws: Applications to nonlocal lane-changing traffic flow models. Volume 537, Issue 2,  2024, 128358. Journal of Mathematical Analysis and Applications.  Link

2. F. A. Chiarello, J. Friedrich, S. Göttlich. A non-local traffic flow model for 1-to-1 junctions with buffer. Networks and Heterogeneous Media, 2024, 19(1): 405-429. Link

3. F. A. Chiarello, S. Göttlich, T. Schillinger, A. Tosin.  Hydrodynamic traffic flow models including random accidents: A kinetic derivation.  Volume 22 (2024), number 3, pages: 845 - 870. Communications in Mathematical Sciences. Link 

4. F. A. Chiarello, H. D. Contreras, L. M. Villada. Existence of entropy weak solutions for 1D non-local traffic models with space discontinuous flux. Journal of Engineering Mathematics. 2023.  

5. F. A. Chiarello, A. Tosin. Macroscopic limits of non-local kinetic descriptions of vehicular traffic. Kinetic and Related Models, 2023, 16(4): 540-564. 

6. F. A. Chiarello, G. M. Coclite. Nonlocal scalar conservation laws with discontinuous flux. Networks and Heterogeneous Media, special issue 'Nonlocal conservation laws'. 2023, Volume 18, Issue 1: 380-398. Preprint

7. F. A. Chiarello, H. D. Contreras, L. M. Villada. Nonlocal reaction traffic flow model with on-off ramps. Networks & Heterogeneous Media, April  2022, 17(2): 203-226. Preprint

8. F. A. Chiarello, B. Piccoli, A. Tosin.  A statistical mechanics approach to macroscopic limits of car-following traffic dynamics. International Journal of Non-Linear Mechanics, Volume 137, 2021, 103806.  Preprint 

9. F. A. Chiarello, G. Girardi, S. Lucente. Fujita modified exponent for scale invariant damped semilinear wave equations. Journal of Evolution Equations,  21, pages 2735–2748 (2021). Preprint.

10. F. A. Chiarello, B. Piccoli, A. Tosin.  Multiscale control of generic second order traffic models by driver-assist vehicles. Multiscale Modeling and Simulation, 19(2), 589-611, 2021. Preprint  

11. F. A. Chiarello, J. Friedrich, P. Goatin, S. Göttlich. Micro-Macro limit of a non-local generalized Aw-Rascle type model, SIAM J. Appl. Math., 2020 80:4, 1841-1861.   Preprint

12. F. A. Chiarello, J. Friedrich, P. Goatin, S. Göttlich, O. Kolb.  A non-local traffic flow model for 1-to-1 junctions. European Journal of Applied Mathematics, 1-21. Preprint

13. F. A. Chiarello, P. Goatin, L. M. Villada. Lagrangian-Antidiffusive Remap schemes for non-local multi-class traffic flow models. Computational and Applied Mathematics, (2020) 39: 60. Link

14. F. A. Chiarello, P. Goatin. Non-local multi-class traffic flow models. Networks & Heterogeneous Media, June  2019, 14(2): 371-387.  Preprint

15. F. A. Chiarello, P. Goatin, E. Rossi. Stability estimates for non-local scalar conservation laws. Nonlinear Analysis Series B: Real World Applications, Volume 45, Pages 668-687, February 2019.  Preprint

16. F. A. Chiarello, P. Goatin. Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel.  ESAIM: M2AN Volume 52, Number 1, January–February 2018. Link

Chapters

1. F. A. Chiarello, H. D. Contreras. Stability estimates for nonlocal balance laws arising in traffic modelling. Springer Chapter, Proceedings HYP2022. Book.

2. F. A. Chiarello, P. Goatin. A Non-local System Modeling Bi-directional Traffic Flows. In: Albi, G., Boscheri, W., Zanella, M. (eds) Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems. YR 2021. SEMA SIMAI Springer Series, vol 32. Springer, Cham.  Link

3.  F. A. Chiarello.  An overview of non-local traffic flow models, in  'Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models', ICIAM2019 SEMA SIMAI Springer Series, 2020. Link Preprint   

4. F. A. Chiarello, P. Goatin, L. M. Villada. High-order Finite Volume WENO schemes for non-local multi-class traffic flow models. Conference paper,  HYP 2018. Link

Theses

1. F. A. Chiarello.  Lois de conservation avec flux non-local pour la modélisation du trafic routier / Non-local conservation laws for traffic flow modeling . PhD Thesis. Supervisor: Dr. P. Goatin. Link

2. F. A. Chiarello, Conservation laws and vanishing viscosity on network, Master thesis, University of Bari (2017), supervisors: Proff. G. M. Coclite, M. M. Coclite, C. Donadello (Université de Franche-Comté). Link