Publications

• R.M. Colombo, M. Garavello, F. Marcellini, E. Rossi. Hyperbolic Techniques in Epidemiological Modeling. Proceedings, proceedings of the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications. In corso di pubblicazione.

• R.M. Colombo, P. Goatin, E. Rossi, A Hyperbolic -Parabolic Framework to Manage Traffic Generated Pollution, preprint, 2024.

1. R.M. Colombo, E. Rossi, Non linear hyperbolic-parabolic systems with Dirichlet boundary conditions, Differ. Integral Equ., 37 (7/8) 443 - 478, 2024.

2. R. Borsche, M. Eimer, M. Garavello, E. Rossi, Analysis of district heating networks, Appl. Math.  Optim., 87(3), Paper no. 38, 36 pp., 2023.

3. R.M. Colombo,  M. Garavello, F. Marcellini, E. Rossi, General Renewal Equations Motivated by Biology and Epidemiology, J. Differential Equations, 354: 133-169, 2023.

4. R.M. Colombo, F. Marcellini, E. Rossi, Vaccination strategies through intra-compartmental dynamics, Netw. Heterog. Media, 17(3): 385-400, 2022.

5. J. Friedrich, S. Göttlich, E. Rossi, Nonlocal approaches for multilane traffic models, Commun. Math. Sci., 19(8): 2291-2317, 2021. (Preprint)

6. R.M. Colombo, E. Rossi, Well Posedness and Control in a Hyperbolic-Parabolic Parasitoid-Parasite System, Studies in Applied Mathematics, 147(3): 839-871, 2021.

7. R.M. Colombo, M. Garavello, F. Marcellini, E. Rossi, An age and space structured SIR model describing the Covid-19 pandemic, J. Math. Industry, 10, article number 22, 2020. (Preprint) (Enhanced PDF)

8. P. Goatin, E. Rossi, Comparative study of macroscopic traffic flow models at road junctions, Netw. Heterog. Media, 15(2): 261-279, 2020. (Preprint Hal)

9. E. Rossi, J. Weißen, P. Goatin, S. Göttlich, Well–posedness of a non-local model for material flow on conveyor belts, ESAIM: Math. Model. Numer. Anal., 54(2): 679-704, 2020.  (Preprint arXiv) (Preprint Hal)

10. R.M. Colombo, E. Rossi, A modeling framework for biological pest control, Mathematical Biosciences and Engineering, 17(2): 1413-1427, 2020. 

11.  P. Goatin, E. Rossi, Well-posedness of IBVP for 1D scalar non-local conservation laws, Z. Angew. Math. Mech., 99:e201800318, 2019. (Preprint arXiv) (Preprint Hal) 

12.  P. Goatin, E. Rossi, A multilane macroscopic traffic flow model for simple networks, SIAM J. Appl. Math., 79(5): 1967-1989, 2019. (Preprint arXiv) (Preprint Hal)

13.  R.M. Colombo, E. Rossi, Modeling crowd movements in domains with boundaries, IMA J. Appl. Math., 84(5): 833–853, 2019. 

14.  R.M. Colombo, E. Rossi, Stability of the 1D IBVP for a non autonomous scalar conservation law, Proc. Roy. Soc. Edinburgh Sect. A., 149(3): 561-592, 2019. (Preprint) 

15.  E. Rossi, Well-posedness of general 1D Initial Boundary Value Problems for scalar balance laws, Discrete Contin. Dyn. Syst., 39(6): 3577-3608, 2019. (Preprint arXiv) (Preprint Hal)

16.  F. A. Chiarello, P. Goatin, E. Rossi, Stability estimates for non-local scalar conservation laws, Nonlinear Anal. Real World Appl., 45, 668-687, 2019. (Preprint arXiv) (Preprint Hal)

17.  R.M. Colombo, E. Rossi, Nonlocal conservation laws in bounded domains, SIAM J. Math. Anal., 50, No. 4:4041-4065, 2018. (Preprint arXiv) (Preprint Hal)

18.  E. Rossi, Definitions of solutions to the IBVP for multiD scalar balance laws, J. Hyperbolic Differ. Equ., 15(2):349-374, 2018. (Preprint)

19.  R.M. Colombo, E. Rossi, IBVPs for scalar conservation laws with time discontinuous fluxes, Math. Methods Appl. Sci., 41(4):1463-1479, 2018. (Preprint)

20.  E. Rossi, Non local mixed systems and IBVPs for balance laws, Oberwolfach Rep., 13 (2): 1727-1729, 2016. 

21.  E. Rossi, A mixed hyperbolic-parabolic system to describe predator-prey dynamics, Bull. Braz. Math. Soc. (N. S.), 47(2):701-714, 2016. 

22.  E. Rossi, V. Schleper, Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions, ESAIM: Math. Model. Numer. Anal., 50(2):475-497, 2016.

23.  R.M. Colombo, F. Marcellini, E. Rossi, Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results, Netw. Heterog. Media, 11(1):49-67, 2016. 

24.  R.M. Colombo, E. Rossi, Rigorous estimates on balance laws in bounded domains, Acta Math. Sci. Ser. B Engl. Ed., 35 (4): 906-944, 2015. (Preprint)

25.  R.M. Colombo, E. Rossi, Hyperbolic predators vs. parabolic prey, Commun. Math. Sci., 13 (2): 369-400, 2015. (Preprint)                                                                                              R.M. Colombo, E. Rossi, Erratum to "Hyperbolic predators vs. parabolic prey", Commun. Math. Sci., 13 (5): 1345-1346, 2015. 

26.  R.M. Colombo, E. Rossi, On the Micro-Macro Limit in Traffic Flow, Rend. Semin. Mat. Univ. Padova, 131, 217-235, 2014. 

27.  E. Rossi, A justification of a LWR model based on a follow the leader description, Discrete Contin. Dyn. Syst. Ser. S, 7 (3): 579-591, 2014. 

28. E. Rossi, A rigorous result on the discrete–continuum limit in traffic flow, Oberwolfach Rep., 10 (2): 1711-1712, 2013. 

PhD thesis: E. Rossi, Balance laws: non local mixed systems and IBVPs. (PDF1) (PDF2)