Pubblicazioni

Published Articles

  1. Lack of BV bounds for approximate solutions to a two-phase transition model arising from vehicular traffic
    M. Benyahia, M.D. Rosini
    Mathematical Methods in the Applied Sciences 43 (2020) 10381-10390

  2. Systems of conservation laws with discontinuous fluxes and applications to traffic
    M.D. Rosini
    Annales UMCS Sectio A 73 (2019) 135-173

  3. Coherence of coupling Riemann solvers for gas flows through flux-maximizing valves
    A. Corli, M.D. Rosini
    SIAM Journal on Applied Mathematics 79 (2019) 2593–2614

  4. Coherence and Chattering of a One-Way Valve
    A. Corli, M.D. Rosini
    Zeitschrift für Angewandte Mathematik und Mechanik 99 (2019) ??-??

  5. Representation of capacity drop at a road merge via point constraints in a first order traffic model
    C. Donadello, E. Dal Santo, S. Pellegrino, M.D. Rosini
    ESAIM: Mathematical Modelling and Numerical Analysis 53 (2019) 1-34

  6. An existence result for a constrained two-phase transition model with metastable phase for vehicular traffic
    M. Benyahia, C. Donadello, N. Dymski, M.D. Rosini
    Nonlinear Differential Equations and Applications 25 (2018) 25-48

  7. Existence of BV solutions for a non-conservative constrained Aw-Rascle-Zhang model for vehicular traffic
    N.Dymski, P.Goatin, M.D.Rosini
    Journal of Mathematical Analysis and Applications 467 (2018) 45-66

  8. Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux
    B.Andreianov, C.Donadello, U.Razafison, M.D.Rosini
    Journal de Mathématiques Pures et Appliquées 116 (2018) 309-346

  9. Coupling conditions for isothermal gas flow and applications to valves
    A.Corli, M.Figiel, A.Futa, M.D.Rosini
    Nonlinear Analysis Series B: Real World Applications 40 (2018) 403–427

  10. Deterministic particle approximation of scalar conservation laws
    M.Di Francesco, S.Fagioli, M.D.Rosini
    Bollettino dell'Unione Matematica Italiana 10 (2017) 487–501

  11. Traveling waves for degenerate diffusive equations on networks
    A.Corli, L.di Ruvo, L.Malaguti, M.D.Rosini
    Networks and Heterogeneous Media 12 (2017) 339–370

  12. General phase transition models for vehicular traffic with point constraints on the flow
    E.Dal Santo, M.D.Rosini, N.Dymski, M.Benyahia
    Mathematical Methods in the Applied Sciences 40 (2017) 6623–6641

  13. A macroscopic traffic model with phase transitions and local point constraints on the flow
    M.Benyahia, M.D.Rosini
    Networks and Heterogeneous Media 12 (2017) 297–317

  14. Deterministic particle approximation of the Hughes model in one space dimension
    M.Di Francesco, S.Fagioli, M.D.Rosini, G.Russo
    Kinetic and Related Models 10 (2017) 215–237

  15. Many particle approximation of the Aw, Rascle, Zhang second order model for vehicular traffics
    M.Di Francesco, S.Fagioli, M.D.Rosini
    Mathematical Biosciences and Engineering 14 (2017) 127–141

  16. Entropy solutions for a traffic model with phase transitions
    M.Benyahia, M.D.Rosini
    Nonlinear Analysis: Theory, Methods & Applications 141 (2016) 167–190

  17. Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks
    B.Andreianov, C.Donadello, U.Razafison, M.D.Rosini
    ESAIM: Mathematical Modelling and Numerical Analysis 50 (2016) 1269–1287

  18. A second order model for vehicular traffics with local point constraints on the  flow
    B.Andreianov, C.Donadello, M.D.Rosini
    Mathematical Models and Methods in Applied Sciences 26 (2016) 751–802

  19. Solutions of the Aw-Rascle-Zhang system with point constraints
    B.Andreianov, C.Donadello, U.Razafison, J.Y.Rolland, M.D.Rosini
    Networks and Heterogeneous Media 11 (2016) 29–47

  20. Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
    M.Di Francesco, M.D.Rosini
    Archive for Rational Mechanics and Analysis 217 (2015) 831–871

  21. Riemann problems with non–local point constraints and capacity drop
    B.Andreianov, C.Donadello, M.D.Rosini, U.Razafison
    Mathematical Biosciences and Engineering 12 (2015) 259–278

  22. Existence results for Hughes’ model for pedestrian flows
    D.Amadori, P.Goatin, M.D.Rosini
    Journal of Mathematical Analysis and Applications 420 (2014) 387–406

  23. Crowd Dynamics and Conservation Laws with Non–Local Constraints and Capacity Drop
    B.Andreianov, C.Donadello, M.D.Rosini
    Mathematical Models and Methods in Applied Sciences 24 (2014) 2685–2722

  24. On entropy weak solutions of Hughes’ model for pedestrian motion
    N.El-Khatib, P.Goatin, M.D.Rosini
    Zeitschrift für angewandte Mathematik und Physik 64 (2013) 223–251

  25. On the modelling and management of traffic
    R.M.Colombo, P.Goatin, M.D.Rosini
    ESAIM: Mathematical Modelling and Numerical Analysis 45 (2011) 853–872

  26. Stability of Surface Rayleigh Waves in an Elastic Half-Space
    M.D.Rosini
    Studies in Applied Mathematics 124 (2010) 179–211

  27. Weakly nonlinear surface waves and subsonic phase boundaries
    S.Benzoni-Gavage, M.D.Rosini
    Computers & Mathematics with Applications 57 (2009) 1463–1484

  28. Stability and Total Variation Estimates on General Scalar Balance Laws
    R.M.Colombo, M.Mercier, M.D.Rosini
    Communications in Math Sciences 7 (2009) 37–65

  29. Stability Estimates on General Scalar Balance Laws
    R.M.Colombo, M.Mercier, M.D.Rosini
    Comptes rendus - Mathematique 347 (2009) 45–48

  30. Existence of nonclassical solutions in a Pedestrian flow model
    R.M.Colombo, M.D.Rosini
    Journal of Nonlinear Analysis-B: Real World Applications 10 (2009) 2716–2728

  31. Nonclassical Interactions Portrait in a Macroscopic Pedestrian Flow Model
    M.D.Rosini
    J. Differential Equations 246 (2009) 408-427

  32. Well Posedness of Balance Laws with Non-Characteristic Boundary
    R.M.Colombo, M.D.Rosini
    Bollettino dell’Unione Matematica Italiana, 10-B, (2007), no. 8, 875–894

  33. Non local balance laws in traffic models and crystal growth
    R.M.Colombo, A.Corli, M.D.Rosini
    ZAMM Z. Angew. Math. Mech. 87 (2007), no. 6, 449–461

  34. Well Posedness of Balance Laws with Boundary
    R.M.Colombo, M.D.Rosini
    Journal of Mathematical Analysis and Applications, 311 (2005), no. 2, 683–702

  35. Pedestrian Flows and Nonclassical Shocks
    R.M.Colombo, M.D.Rosini
    Mathematical Methods in the Applied Sciences, 28 (2005), no. 13, 1553–1567

  36. Stability of hydrodynamic model for semiconductor
    M.D.Rosini
    Archivum Mathematicum, 41 (2005), no. 1, 37–58

  37. Esistenza e stabilità di onde di shock transonici nel modello idrodinamico per semiconduttori
    (Existence and stability of transonic shock waves in the hydrodynamic model for semiconductors)
    M.D.Rosini
    Bollettino UMI , no. 3/1–Dicembre (2005), 633–636

  38. A phase analysis of transonic solutions for the hydrodynamic semiconductor model
    M.D.Rosini
    Quarterly of Applied Mathematics, 63 (2005), no. 2, 251–268

  39. Stability of transonic strong shock waves for the one-dimensional hydrodynamic model for semiconductors
    M.D.Rosini
    J. Differential Equations, 199 (2004), no. 2, 326–351

Published Book

  • Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications
    M.D. Rosini
    Understanding Complex Systems, Springer Verlag, XII, 242 pages, 2013
    ISBN: 978-3-319-00154-8

Published Chapter Books
  1. Microscopic and macroscopic models for vehicular and pedestrian flows
    M.D. Rosini
    Order, Disorder and Criticality: Advanced Problems of Phase Transition Theory. Ed. by Yu. Holovatch. Vol. 6, 2020, World Scientific, Singapore
  2. One-dimensional conservation laws with non-local point constraints on the flux
    B. Andreianov, C. Donadello, U. Razafison, M.D. Rosini
    Crowd Dynamics, Volume 1    , Birkhäuser-Springer 103–135, 2018
    Editors: Livio Gibelli, Nicola Bellomo
  3. Follow-the-leader approximations of macroscopic models for vehicular and pedestrian flows
    M. Di Francesco, S. Fagioli, M.D. Rosini, G. Russo
    Active Particles, Volume 1    , Springer International Publishing, Cham 333–378, 2017
    Editors: Nicola Bellomo, Pierre Degond, Eitan Tadmor
Conference Proceedings
  1. Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic
    B. Andreianov, M.D. Rosini
    "SOTA 2018: Semigroups of Operators – Theory and Applications" (2020) 113-135
  2. Modeling moving bottlenecks on road networks
    N. Dymski, P. Goatin, M.D. Rosini
    "Hyperbolic Problems: Theory, Numerics, Applications, Pennsylvania, USA, June 2018" (2019) 424-431
  3. A deterministic particle approximation for non-linear conservation laws
    M. Di Francesco, S. Fagioli, M.D. Rosini, G. Russo
    "Theory, Numerics and Applications of Hyperbolic Problems, Aachen, Germany, August 2016", PROMS series, Springer Verlag (2018) 487-499
    Editors: Christian Klingenberg and Michael Westdickenberg
  4. Modeling Crowd Dynamics through Hyperbolic-Elliptic Equations
    R.M. Colombo, M. Gokieli, M.D. Rosini
    Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, European Mathematical Society (2018) 111–128
    Editors: F. Gesztesy, H. Hanche-Olsen, E. Jakobsen, Y. Lyubarskii, N.H. Risebro, K. Seip.
  5. The Riemann problem for a general phase transition model on networks
    E. Dal Santo, M.D. Rosini, N. Dymski
    "Theory, Numerics and Applications of Hyperbolic Problems, Aachen, Germany, August 2016", PROMS series, Springer Verlag (2018) 445-457
    Editors: Christian Klingenberg and Michael Westdickenberg
  6. On the management of vehicular and pedestrian flows
    R.M. Colombo, P. Goatin, M.D. Rosini
    Proceedings of 14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Padua, Italy, AIMS on Applied Mathematics 8 (2014) 889–897
  7. Non-local constraints and crowd dynamics
    M.D. Rosini
    Proceedings of Hyperbolic Techniques for Phase Dynamics, Oberwolfach, Germany, Report 29/2013, (2013) 1739
  8. Macroscopic Models for Pedestrian Flows
    R.M. Colombo, P. Goatin, G. Maternini, M.D. Rosini
    Proceedings of the International Conference Big Events and Transport, Venice. Editors: IUAV– TTL Research Unit (2010) 11–22
  9. A macroscopic model for pedestrian flows in panic situations
    R.M. Colombo, P. Goatin, M.D. Rosini
    Gakuto International Series. Mathematical Sciences and Applications 32 (2010) 255–272
  10. Conservation Laws with Unilateral Constraints in Traffic Modeling
    R.M. Colombo, P. Goatin, M.D. Rosini
    Applied and Industrial Mathematics in Italy III. E.De Bernardis, R.Spigler, V.Valente editori. Series on Advances in Mathematics for Applied Sciences, 82 (2009) 244-255
  11. Using conservation Laws in Pedestrian Modeling
    R.M. Colombo, P. Goatin, G. Maternini, M.D. Rosini
    Transport Management and Land-Use Effects in Presence of Unusual Demand, Atti del convegno SIDT 2009. L.Mussone, U.Crisalli editori. (2009) 73–79
  12. On the Continuum Modeling of Crowds
    R.M. Colombo, G. Facchi, G. Maternini, M.D. Rosini
    Hyperbolic Problems: Theory, Numerics and Applications, E.Tadmor, J.-G.Luo, A.E.Tzavaras editors, Proceedings of the International Conference Hyp2008, College Park, Maryland, USA. Proceedings of Symposia in Applied Mathematics, 67, (2009), no. 2, 517–526