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Cited by
Cited by
Year
The Aw–Rascle vehicular traffic flow model with phase transitions
P Goatin
Mathematical and computer modelling 44 (3-4), 287-303, 2006
1652006
The Riemann problem for a class of resonant hyperbolic systems of balance laws
P Goatin, PG LeFloch
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 21 (6), 881-902, 2004
1632004
A general phase transition model for vehicular traffic
S Blandin, D Work, P Goatin, B Piccoli, A Bayen
SIAM journal on Applied Mathematics 71 (1), 107-127, 2011
1252011
Macroscopic modeling and simulations of room evacuation
M Twarogowska, P Goatin, R Duvigneau
Applied Mathematical Modelling 38 (24), 5781-5795, 2014
1192014
A well posed conservation law with a variable unilateral constraint
RM Colombo, P Goatin
Journal of Differential Equations 234 (2), 654-675, 2007
1182007
Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
S Blandin, P Goatin
Numerische Mathematik 132 (2), 217-241, 2016
1152016
Finite volume schemes for locally constrained conservation laws
B Andreianov, P Goatin, N Seguin
Numerische Mathematik 115, 609-645, 2010
962010
Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result
ML Delle Monache, P Goatin
Journal of Differential equations 257 (11), 4015-4029, 2014
892014
Oleinik type estimates and uniqueness for n× n conservation laws
A Bressan, P Goatin
Journal of differential equations 156 (1), 26-49, 1999
891999
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity
P Goatin, S Scialanga
Networks and Heterogeneous Media 11 (1), 107-121, 2016
792016
Nonlocal systems of conservation laws in several space dimensions
A Aggarwal, RM Colombo, P Goatin
SIAM Journal on Numerical Analysis 53 (2), 963-983, 2015
722015
Speed limit and ramp meter control for traffic flow networks
P Goatin, S Göttlich, O Kolb
Engineering Optimization 48 (7), 1121-1144, 2016
632016
On the modelling and management of traffic
RM Colombo, P Goatin, MD Rosini
ESAIM: Mathematical Modelling and Numerical Analysis 45 (5), 853-872, 2011
632011
Traffic control via moving bottleneck of coordinated vehicles
G Piacentini, P Goatin, A Ferrara
IFAC-PapersOnLine 51 (9), 13-18, 2018
622018
Stability of solutions of Temple class systems
A Bressan, P Goatin
592000
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling
C Chalons, P Goatin
Interfaces and Free Boundaries 10 (2), 197-221, 2008
582008
Adjoint-based optimization on a network of discretized scalar conservation laws with applications to coordinated ramp metering
J Reilly, S Samaranayake, ML Delle Monache, W Krichene, P Goatin, ...
Journal of optimization theory and applications 167, 733-760, 2015
572015
General constrained conservation laws. Application to pedestrian flow modeling.
C Chalons, P Goatin, N Seguin
Networks and Heterogeneous Media 8 (2), 433-463, 2013
562013
Invariant sets for controlled degenerate diffusions: a viscosity solutions approach
M Bardi, P Goatin
Stochastic analysis, control, optimization and applications, 191-208, 1999
541999
Global well posedness of traffic flow models with phase transitions
RM Colombo, P Goatin, FS Priuli
Nonlinear Analysis: Theory, Methods & Applications 66 (11), 2413-2426, 2007
522007
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