Pubblicazioni

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

to appear on Nonlinear Differential Equations and Applications

 

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

 

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

 

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

 

Deterministic particle approximation of scalar conservation laws

M.Di Francesco, S.Fagioli, M.D.Rosini

Bollettino dell'Unione Matematica Italiana 10 (2017) 487–501

 

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

 

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

 

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

 

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

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

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

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

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

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

 

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


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


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


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

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

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

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

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

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

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

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


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


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


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

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


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


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


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

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

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