## Goatin, Paola

Compute Distance To:
 Author ID: goatin.paola Published as: Goatin, Paola; Goatin, P. External Links: ORCID
 Documents Indexed: 76 Publications since 1999, including 1 Book 2 Contributions as Editor Co-Authors: 56 Co-Authors with 72 Joint Publications 1,198 Co-Co-Authors
all top 5

### Co-Authors

 5 single-authored 10 Colombo, Rinaldo M. 7 Chalons, Christophe 7 Delle Monache, Maria Laura 7 Rosini, Massimiliano Daniele 6 Chiarello, Felisia Angela 6 Piccoli, Benedetto 5 Bayen, Alexandre M. 5 Göttlich, Simone 4 Garavello, Mauro 4 LeFloch, Philippe Gerard 4 Rossi, Elena 4 Villada, Luis Miguel 3 Laurent-Brouty, Nicolas 2 Aggarwal, Aekta 2 Bardi, Martino 2 Berthelin, Florent 2 Blandin, Sébastien 2 Bressan, Alberto 2 Costeseque, Guillaume 2 Dymski, Nikodem S. 2 Kolb, Oliver 2 Krichene, Walid 2 Mimault, Matthias 2 Reilly, Jack D. 2 Samaranayake, Samitha 2 Seguin, Nicolas 1 Ackleh, Azmy S. 1 Amadori, Debora 1 Ancona, Fabio 1 Andreianov, Boris 1 Binois, Mickaël 1 Bürger, Raimund 1 De Filippis, Cristiana 1 Duvigneau, Régis 1 El-Khatib, Nader 1 Ferrara, Antonella 1 Friedrich, Jan 1 Gosse, Laurent 1 Hille, Sander Cornelis 1 Inzunza, Daniel 1 Ishii, Hitoshi 1 Kassa, Semu Mitiku 1 Keimer, Alexander 1 Liard, Thibault 1 Monache, M. L. Delle 1 Muntean, Adrian 1 Obsu, Legesse Lemecha 1 Piacentini, Giulia 1 Priuli, Fabio Simone 1 Rossi, Francesco 1 Scialanga, Sheila 1 Twarogowska, Monika 1 Villa, Stefano 1 Weißen, Jennifer 1 Würth, Alexandra 1 Zolésio, Jean-Paul
all top 5

### Serials

 7 SIAM Journal on Applied Mathematics 7 Networks and Heterogeneous Media 4 Journal of Differential Equations 4 Communications in Mathematical Sciences 3 Journal of Mathematical Analysis and Applications 3 Mathematical Biosciences and Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 SIAM Journal on Scientific Computing 2 Discrete and Continuous Dynamical Systems 2 Interfaces and Free Boundaries 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Discrete and Continuous Dynamical Systems. Series S 1 Archive for Rational Mechanics and Analysis 1 Mathematical Methods in the Applied Sciences 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Differential and Integral Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Flow, Turbulence and Combustion 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Progress in Nonlinear Differential Equations and Their Applications
all top 5

### Fields

 74 Partial differential equations (35-XX) 58 Operations research, mathematical programming (90-XX) 25 Numerical analysis (65-XX) 9 Fluid mechanics (76-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

69 Publications have been cited 822 times in 422 Documents Cited by Year
The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069
Goatin, Paola; LeFloch, Philippe G.
2004
Well-posedness of a conservation law with non-local flux arising in traffic flow modeling. Zbl 1336.65130
Blandin, Sebastien; Goatin, Paola
2016
The Aw-Rascle vehicular traffic flow model with phase transitions. Zbl 1134.35379
Goatin, Paola
2006
Nonlocal systems of conservation laws in several space dimensions. Zbl 1318.65046
Aggarwal, Aekta; Colombo, Rinaldo M.; Goatin, Paola
2015
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117
Goatin, Paola; Scialanga, Sheila
2016
Finite volume schemes for locally constrained conservation laws. Zbl 1196.65151
Andreianov, Boris; Goatin, Paola; Seguin, Nicolas
2010
Macroscopic modeling and simulations of room evacuation. Zbl 1428.90038
Twarogowska, M.; Goatin, P.; Duvigneau, R.
2014
A general phase transition model for vehicular traffic. Zbl 1217.35116
Blandin, S.; Work, D.; Goatin, P.; Piccoli, B.; Bayen, A.
2011
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142
Chiarello, Felisia Angela; Goatin, Paola
2018
A well posed conservation law with a variable unilateral constraint. Zbl 1116.35087
Colombo, Rinaldo M.; Goatin, Paola
2007
On the modelling and management of traffic. Zbl 1267.90032
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
2011
General constrained conservation laws. Application to pedestrian flow modeling. Zbl 1275.35144
Chalons, Christophe; Goatin, Paola; Seguin, Nicolas
2013
Oleinik type estimates and uniqueness for $$n \times n$$ conservation laws. Zbl 0990.35095
Bressan, Alberto; Goatin, Paola
1999
Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result. Zbl 1302.35248
Delle Monache, M. L.; Goatin, P.
2014
A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit. Zbl 1356.35096
Goatin, Paola; Rossi, Francesco
2017
Invariant sets for controlled degenerate diffusions: A viscosity solutions approach. Zbl 0928.93067
Bardi, Martino; Goatin, Paola
1999
The Aw-Rascle traffic model with locally constrained flow. Zbl 1211.35018
Garavello, M.; Goatin, P.
2011
Transport equilibrium schemes for computing contact discontinuities in traffic flow modeling. Zbl 1141.35412
Chalons, Christophe; Goatin, Paola
2007
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Zbl 1171.35429
Chalons, Christophe; Goatin, Paola
2008
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
2010
The Cauchy problem at a node with buffer. Zbl 1238.90033
Garavello, Mauro; Goatin, Paola
2012
High-order numerical schemes for one-dimensional nonlocal conservation laws. Zbl 1387.35406
Chalons, Christophe; Goatin, Paola; Villada, Luis M.
2018
Stability of $$L^ \infty$$ solutions of Temple class systems. Zbl 1047.35095
Bressan, Alberto; Goatin, Paola
2000
A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow. Zbl 1292.90078
Delle Monache, Maria Laura; Goatin, Paola
2014
Adjoint-based optimization on a network of discretized scalar conservation laws with applications to coordinated ramp metering. Zbl 1337.35161
Reilly, Jack; Samaranayake, Samitha; Delle Monache, Maria Laura; Krichene, Walid; Goatin, Paola; Bayen, Alexandre M.
2015
Non-local multi-class traffic flow models. Zbl 1426.35153
Chiarello, Felisia Angela; Goatin, Paola
2019
Global well posedness of traffic flow models with phase transitions. Zbl 1113.35123
Colombo, Rinaldo M.; Goatin, Paola; Priuli, Fabio S.
2007
A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem. Zbl 1404.65110
Chalons, C.; Monache, M. L. Delle; Goatin, P.
2017
The initial-boundary value problem for general non-local scalar conservation laws in one space dimension. Zbl 1469.35143
De Filippis, Cristiana; Goatin, Paola
2017
Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model. Zbl 1371.35173
Villa, Stefano; Goatin, Paola; Chalons, Christophe
2017
A macroscopic model for pedestrian flows in panic situations. Zbl 1226.35050
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
2010
Uniqueness and stability of $$L^\infty$$ solutions for Temple class systems with boundary and properties of the attainable sets. Zbl 1020.35050
Ancona, Fabio; Goatin, Paola
2002
Regularity results for the solutions of a non-local model of traffic flow. Zbl 1433.35197
Berthelin, Florent; Goatin, Paola
2019
Stability estimates for non-local scalar conservation laws. Zbl 1415.35187
Chiarello, Felisia Angela; Goatin, Paola; Rossi, Elena
2019
A multiscale model for traffic regulation via autonomous vehicles. Zbl 1439.90025
Garavello, Mauro; Goatin, Paola; Liard, Thibault; Piccoli, Benedetto
2020
Micro-macro limit of a nonlocal generalized Aw-Rascle type model. Zbl 1445.35244
Chiarello, Felisia A.; Friedrich, Jan; Goatin, Paola; Göttlich, Simone
2020
Existence results for Hughes’ model for pedestrian flows. Zbl 1310.35163
Amadori, Debora; Goatin, Paola; Rosini, Massimiliano D.
2014
Decay of positive waves for $$n \times n$$ hyperbolic systems of balance laws. Zbl 1043.35111
Goatin, Paola; Gosse, Laurent
2004
Capacity drop and traffic control for a second order traffic model. Zbl 1375.90082
Goatin, Paola; Göttlich, Simone; Kolb, Oliver
2017
Stability estimates for scalar conservation laws with moving flux constraints. Zbl 1432.35140
Goatin, Paola; Delle Monache, Maria Laura
2017
Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models. Zbl 1463.65220
Chiarello, Felisia Angela; Goatin, Paola; Villada, Luis Miguel
2020
Existence of BV solutions for a non-conservative constrained aw-rascle-Zhang model for vehicular traffic. Zbl 1403.90224
Dymski, Nikodem S.; Goatin, Paola; Rosini, Massimiliano D.
2018
The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model. Zbl 1407.35133
Goatin, Paola; Laurent-Brouty, Nicolas
2019
A PDE-ODE model for a junction with ramp buffer. Zbl 1292.90077
Delle Monache, M. L.; Reilly, J.; Samaranayake, S.; Krichene, W.; Goatin, P.; Bayen, A. M.
2014
A multilane macroscopic traffic flow model for simple networks. Zbl 1426.35155
Goatin, Paola; Rossi, Elena
2019
Crowd dynamics through non-local conservation laws. Zbl 1337.35084
Aggarwal, Aekta; Goatin, Paola
2016
A mixed system modeling two-directional pedestrian flows. Zbl 1308.35137
Goatin, Paola; Mimault, Matthias
2015
Traffic flow models with phase transitions. Zbl 1134.90012
Colombo, Rinaldo M.; Goatin, Paola
2006
Conservation laws with unilateral constraints in traffic modeling. Zbl 1211.35182
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
2010
On entropy weak solutions of Hughes’ model for pedestrian motion. Zbl 1277.35119
El-Khatib, Nader; Goatin, Paola; Rosini, Massimiliano D.
2013
The wave-front tracking algorithm for Hughes model of pedestrian motion. Zbl 1273.76288
Goatin, Paola; Mimault, Matthias
2013
Well-posedness of a non-local model for material flow on conveyor belts. Zbl 1434.65151
Rossi, Elena; Weißen, Jennifer; Goatin, Paola; Göttlich, Simone
2020
Priority-based Riemann solver for traffic flow on networks. Zbl 1395.90072
Delle Monache, Maria Laura; Goatin, Paola; Piccoli, Benedetto
2018
A Dirichlet type problem for nonlinear degenerate elliptic equations arising in time-optimal stochastic control. Zbl 0970.35065
Bardi, Martino; Goatin, Paola; Ishii, Hitoshi
2000
A numerical scheme for moving bottlenecks in traffic flow. Zbl 1358.90025
Delle Monache, Maria Laura; Goatin, Paola
2016
Computing phase transitions arising in traffic flow modeling. Zbl 1137.65394
Chalons, C.; Goatin, P.
2008
High-order finite volume WENO schemes for non-local multi-class traffic flow models. Zbl 1460.65106
Chiarello, Felisia A.; Goatin, Paola; Villada, Luis M.
2020
Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions. Zbl 1391.90175
Kolb, Oliver; Costeseque, Guillaume; Goatin, Paola; Göttlich, Simone
2018
Traffic flow optimization on roundabouts. Zbl 1329.90034
Obsu, Legesse L.; Delle Monache, Maria Laura; Goatin, Paola; Kassa, Semu M.
2015
Sharp $$L^1$$ continuous dependence of solutions of bounded variation for hyperbolic systems of conservation laws. Zbl 0980.35099
Goatin, P.; LeFloch, P. G.
2001
Traffic flow models with phase transitions on road networks. Zbl 1182.90020
Goatin, Paola
2009
One-sided estimates and uniqueness for hyperbolic systems of balance laws. Zbl 1047.35093
Goatin, Paola
2003
Particle approximation of a constrained model for traffic flow. Zbl 1380.35122
Berthelin, Florent; Goatin, Paola
2017
A macroscopic model for platooning in highway traffic. Zbl 1439.35326
Piacentini, Giulia; Goatin, Paola; Ferrara, Antonella
2020
$$L^1$$ continuous dependence for the Euler equations of compressible fluids dynamics. Zbl 1047.35098
Goatin, Paola; LeFloch, Philippe G.
2003
A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Zbl 1470.90018
Bürger, Raimund; Goatin, Paola; Inzunza, Daniel; Villada, Luis Miguel
2020
A macroscopic traffic flow model accounting for bounded acceleration. Zbl 1461.35152
Laurent-Brouty, Nicolas; Costeseque, Guillaume; Goatin, Paola
2021
Special issue: Mathematical modeling with measures. Zbl 1477.00013
2020
Comparative study of macroscopic traffic flow models at road junctions. Zbl 1452.35098
Goatin, Paola; Rossi, Elena
2020
A macroscopic traffic flow model accounting for bounded acceleration. Zbl 1461.35152
Laurent-Brouty, Nicolas; Costeseque, Guillaume; Goatin, Paola
2021
A multiscale model for traffic regulation via autonomous vehicles. Zbl 1439.90025
Garavello, Mauro; Goatin, Paola; Liard, Thibault; Piccoli, Benedetto
2020
Micro-macro limit of a nonlocal generalized Aw-Rascle type model. Zbl 1445.35244
Chiarello, Felisia A.; Friedrich, Jan; Goatin, Paola; Göttlich, Simone
2020
Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models. Zbl 1463.65220
Chiarello, Felisia Angela; Goatin, Paola; Villada, Luis Miguel
2020
Well-posedness of a non-local model for material flow on conveyor belts. Zbl 1434.65151
Rossi, Elena; Weißen, Jennifer; Goatin, Paola; Göttlich, Simone
2020
High-order finite volume WENO schemes for non-local multi-class traffic flow models. Zbl 1460.65106
Chiarello, Felisia A.; Goatin, Paola; Villada, Luis M.
2020
A macroscopic model for platooning in highway traffic. Zbl 1439.35326
Piacentini, Giulia; Goatin, Paola; Ferrara, Antonella
2020
A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Zbl 1470.90018
Bürger, Raimund; Goatin, Paola; Inzunza, Daniel; Villada, Luis Miguel
2020
Special issue: Mathematical modeling with measures. Zbl 1477.00013
2020
Comparative study of macroscopic traffic flow models at road junctions. Zbl 1452.35098
Goatin, Paola; Rossi, Elena
2020
Non-local multi-class traffic flow models. Zbl 1426.35153
Chiarello, Felisia Angela; Goatin, Paola
2019
Regularity results for the solutions of a non-local model of traffic flow. Zbl 1433.35197
Berthelin, Florent; Goatin, Paola
2019
Stability estimates for non-local scalar conservation laws. Zbl 1415.35187
Chiarello, Felisia Angela; Goatin, Paola; Rossi, Elena
2019
The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model. Zbl 1407.35133
Goatin, Paola; Laurent-Brouty, Nicolas
2019
A multilane macroscopic traffic flow model for simple networks. Zbl 1426.35155
Goatin, Paola; Rossi, Elena
2019
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142
Chiarello, Felisia Angela; Goatin, Paola
2018
High-order numerical schemes for one-dimensional nonlocal conservation laws. Zbl 1387.35406
Chalons, Christophe; Goatin, Paola; Villada, Luis M.
2018
Existence of BV solutions for a non-conservative constrained aw-rascle-Zhang model for vehicular traffic. Zbl 1403.90224
Dymski, Nikodem S.; Goatin, Paola; Rosini, Massimiliano D.
2018
Priority-based Riemann solver for traffic flow on networks. Zbl 1395.90072
Delle Monache, Maria Laura; Goatin, Paola; Piccoli, Benedetto
2018
Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions. Zbl 1391.90175
Kolb, Oliver; Costeseque, Guillaume; Goatin, Paola; Göttlich, Simone
2018
A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit. Zbl 1356.35096
Goatin, Paola; Rossi, Francesco
2017
A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem. Zbl 1404.65110
Chalons, C.; Monache, M. L. Delle; Goatin, P.
2017
The initial-boundary value problem for general non-local scalar conservation laws in one space dimension. Zbl 1469.35143
De Filippis, Cristiana; Goatin, Paola
2017
Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model. Zbl 1371.35173
Villa, Stefano; Goatin, Paola; Chalons, Christophe
2017
Capacity drop and traffic control for a second order traffic model. Zbl 1375.90082
Goatin, Paola; Göttlich, Simone; Kolb, Oliver
2017
Stability estimates for scalar conservation laws with moving flux constraints. Zbl 1432.35140
Goatin, Paola; Delle Monache, Maria Laura
2017
Particle approximation of a constrained model for traffic flow. Zbl 1380.35122
Berthelin, Florent; Goatin, Paola
2017
Well-posedness of a conservation law with non-local flux arising in traffic flow modeling. Zbl 1336.65130
Blandin, Sebastien; Goatin, Paola
2016
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117
Goatin, Paola; Scialanga, Sheila
2016
Crowd dynamics through non-local conservation laws. Zbl 1337.35084
Aggarwal, Aekta; Goatin, Paola
2016
A numerical scheme for moving bottlenecks in traffic flow. Zbl 1358.90025
Delle Monache, Maria Laura; Goatin, Paola
2016
Nonlocal systems of conservation laws in several space dimensions. Zbl 1318.65046
Aggarwal, Aekta; Colombo, Rinaldo M.; Goatin, Paola
2015
Adjoint-based optimization on a network of discretized scalar conservation laws with applications to coordinated ramp metering. Zbl 1337.35161
Reilly, Jack; Samaranayake, Samitha; Delle Monache, Maria Laura; Krichene, Walid; Goatin, Paola; Bayen, Alexandre M.
2015
A mixed system modeling two-directional pedestrian flows. Zbl 1308.35137
Goatin, Paola; Mimault, Matthias
2015
Traffic flow optimization on roundabouts. Zbl 1329.90034
Obsu, Legesse L.; Delle Monache, Maria Laura; Goatin, Paola; Kassa, Semu M.
2015
Macroscopic modeling and simulations of room evacuation. Zbl 1428.90038
Twarogowska, M.; Goatin, P.; Duvigneau, R.
2014
Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result. Zbl 1302.35248
Delle Monache, M. L.; Goatin, P.
2014
A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow. Zbl 1292.90078
Delle Monache, Maria Laura; Goatin, Paola
2014
Existence results for Hughes’ model for pedestrian flows. Zbl 1310.35163
Amadori, Debora; Goatin, Paola; Rosini, Massimiliano D.
2014
A PDE-ODE model for a junction with ramp buffer. Zbl 1292.90077
Delle Monache, M. L.; Reilly, J.; Samaranayake, S.; Krichene, W.; Goatin, P.; Bayen, A. M.
2014
General constrained conservation laws. Application to pedestrian flow modeling. Zbl 1275.35144
Chalons, Christophe; Goatin, Paola; Seguin, Nicolas
2013
On entropy weak solutions of Hughes’ model for pedestrian motion. Zbl 1277.35119
El-Khatib, Nader; Goatin, Paola; Rosini, Massimiliano D.
2013
The wave-front tracking algorithm for Hughes model of pedestrian motion. Zbl 1273.76288
Goatin, Paola; Mimault, Matthias
2013
The Cauchy problem at a node with buffer. Zbl 1238.90033
Garavello, Mauro; Goatin, Paola
2012
A general phase transition model for vehicular traffic. Zbl 1217.35116
Blandin, S.; Work, D.; Goatin, P.; Piccoli, B.; Bayen, A.
2011
On the modelling and management of traffic. Zbl 1267.90032
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
2011
The Aw-Rascle traffic model with locally constrained flow. Zbl 1211.35018
Garavello, M.; Goatin, P.
2011
Finite volume schemes for locally constrained conservation laws. Zbl 1196.65151
Andreianov, Boris; Goatin, Paola; Seguin, Nicolas
2010
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
2010
A macroscopic model for pedestrian flows in panic situations. Zbl 1226.35050
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
2010
Conservation laws with unilateral constraints in traffic modeling. Zbl 1211.35182
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
2010
Traffic flow models with phase transitions on road networks. Zbl 1182.90020
Goatin, Paola
2009
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Zbl 1171.35429
Chalons, Christophe; Goatin, Paola
2008
Computing phase transitions arising in traffic flow modeling. Zbl 1137.65394
Chalons, C.; Goatin, P.
2008
A well posed conservation law with a variable unilateral constraint. Zbl 1116.35087
Colombo, Rinaldo M.; Goatin, Paola
2007
Transport equilibrium schemes for computing contact discontinuities in traffic flow modeling. Zbl 1141.35412
Chalons, Christophe; Goatin, Paola
2007
Global well posedness of traffic flow models with phase transitions. Zbl 1113.35123
Colombo, Rinaldo M.; Goatin, Paola; Priuli, Fabio S.
2007
The Aw-Rascle vehicular traffic flow model with phase transitions. Zbl 1134.35379
Goatin, Paola
2006
Traffic flow models with phase transitions. Zbl 1134.90012
Colombo, Rinaldo M.; Goatin, Paola
2006
The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069
Goatin, Paola; LeFloch, Philippe G.
2004
Decay of positive waves for $$n \times n$$ hyperbolic systems of balance laws. Zbl 1043.35111
Goatin, Paola; Gosse, Laurent
2004
One-sided estimates and uniqueness for hyperbolic systems of balance laws. Zbl 1047.35093
Goatin, Paola
2003
$$L^1$$ continuous dependence for the Euler equations of compressible fluids dynamics. Zbl 1047.35098
Goatin, Paola; LeFloch, Philippe G.
2003
Uniqueness and stability of $$L^\infty$$ solutions for Temple class systems with boundary and properties of the attainable sets. Zbl 1020.35050
Ancona, Fabio; Goatin, Paola
2002
Sharp $$L^1$$ continuous dependence of solutions of bounded variation for hyperbolic systems of conservation laws. Zbl 0980.35099
Goatin, P.; LeFloch, P. G.
2001
Stability of $$L^ \infty$$ solutions of Temple class systems. Zbl 1047.35095
Bressan, Alberto; Goatin, Paola
2000
A Dirichlet type problem for nonlinear degenerate elliptic equations arising in time-optimal stochastic control. Zbl 0970.35065
Bardi, Martino; Goatin, Paola; Ishii, Hitoshi
2000
Oleinik type estimates and uniqueness for $$n \times n$$ conservation laws. Zbl 0990.35095
Bressan, Alberto; Goatin, Paola
1999
Invariant sets for controlled degenerate diffusions: A viscosity solutions approach. Zbl 0928.93067
Bardi, Martino; Goatin, Paola
1999
all top 5

### Cited by 515 Authors

 40 Goatin, Paola 21 Rosini, Massimiliano Daniele 20 Garavello, Mauro 19 Mai Duc Thanh 19 Piccoli, Benedetto 18 Andreianov, Boris 18 Colombo, Rinaldo M. 18 Göttlich, Simone 12 Chalons, Christophe 12 Keimer, Alexander 12 Marcellini, Francesca 10 Coclite, Giuseppe Maria 10 Donadello, Carlotta 9 LeFloch, Philippe Gerard 9 Pflug, Lukas 9 Tosin, Andrea 8 Ancona, Fabio 8 Chiarello, Felisia Angela 8 Delle Monache, Maria Laura 7 Cristiani, Emiliano 7 Cuong, Dao Huy 7 Rossi, Elena 6 Borsche, Raul 6 Bressan, Alberto 6 Coquel, Frédéric 6 Herty, Michael Matthias 6 Hong, John Meng-Kai 6 Wolfram, Marie-Therese 5 Bayen, Alexandre M. 5 Cancès, Clément 5 Cesaroni, Annalisa 5 Di Francesco, Marco 5 Friedrich, Jan 5 Hérard, Jean-Marc 5 Jiang, Yanqun 5 Klar, Axel 5 Nguyen, Khai T. 5 Razafison, Ulrich 5 Seguin, Nicolas 5 Shen, Wen 5 Spinolo, Laura V. 5 Villada, Luis Miguel 5 Vinh, Duong Xuan 4 Aguillon, Nina 4 Berthelin, Florent 4 De Nitti, Nicola 4 Forcadel, Nicolas 4 Gosse, Laurent 4 Holden, Helge 4 Kolb, Oliver 4 Kröner, Dietmar 4 Sylla, Abraham 3 Bardi, Martino 3 Benyahia, Mohamed 3 Blandin, Sébastien 3 Bretti, Gabriella 3 Briani, Maya 3 Bürger, Raimund 3 Camilli, Fabio 3 Castro, Manuel J. 3 Chen, Bokui 3 Colombo, Maria 3 Corli, Andrea 3 Costeseque, Guillaume 3 Crippa, Gianluca 3 Dafermos, Constantine M. 3 Fagioli, Simone 3 Festa, Adriano 3 Glass, Olivier 3 Goreac, Dan 3 Goudon, Thierry 3 Guerra, Graziano 3 Han, Ee 3 Hantke, Maren 3 Helluy, Philippe 3 Krstić, Miroslav 3 Kuhn, Sebastian 3 Liard, Thibault 3 Meurer, Anne 3 Parés Madroñal, Carlos 3 Risebro, Nils Henrik 3 Rossi, Francesco 3 Shen, Chun 3 Wang, Guodong 3 Warnecke, Gerald G. 3 Weißen, Jennifer 3 Yu, Yue 3 Zanella, Mattia 3 Zhou, Shu-Guang 2 Aamo, Ole Morten 2 Aggarwal, Aekta 2 Amadori, Debora 2 Ambroso, Annalisa 2 Bianchini, Stefano 2 Bokanowski, Olivier 2 Boutin, Benjamin 2 Čanić, Sunčica 2 Caravenna, Laura 2 Carrillo de la Plata, José Antonio 2 Cheng, Hongjun ...and 415 more Authors
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### Cited in 107 Serials

 37 Networks and Heterogeneous Media 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Journal of Mathematical Analysis and Applications 15 SIAM Journal on Applied Mathematics 14 Journal of Differential Equations 14 Journal of Hyperbolic Differential Equations 11 SIAM Journal on Mathematical Analysis 10 Journal of Computational Physics 10 Applied Mathematics and Computation 10 Applied Mathematical Modelling 9 Computers and Fluids 8 Physica A 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Automatica 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Discrete and Continuous Dynamical Systems. Series S 7 Archive for Rational Mechanics and Analysis 7 Discrete and Continuous Dynamical Systems 7 Discrete and Continuous Dynamical Systems. Series B 6 SIAM Journal on Control and Optimization 6 NoDEA. Nonlinear Differential Equations and Applications 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Numerische Mathematik 5 Systems & Control Letters 5 Applied Numerical Mathematics 5 SIAM Journal on Scientific Computing 5 Mathematical Biosciences and Engineering 4 Journal of Scientific Computing 4 Nonlinear Analysis. Real World Applications 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Kinetic and Related Models 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 Computers & Mathematics with Applications 3 Mathematics of Computation 3 Journal of Optimization Theory and Applications 3 Quarterly of Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Mathematical and Computer Modelling 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Multiscale Modeling & Simulation 2 International Journal of Control 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Physica D 2 Applied Mathematics Letters 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Computational Geosciences 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Advances in Mathematical Physics 2 Minimax Theory and its Applications 2 SN Partial Differential Equations and Applications 2 International Journal on Finite Volumes 1 Communications on Pure and Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Applied Mathematics and Optimization 1 Hokkaido Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Memoirs of the American Mathematical Society 1 Ricerche di Matematica 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Continuum Mechanics and Thermodynamics 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 European Journal of Control 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Flow, Turbulence and Combustion 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Optimization and Engineering 1 Revista de Matemática: Teoría y Aplicaciones 1 SIAM Journal on Applied Dynamical Systems 1 Thai Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Advances in Difference Equations 1 Oberwolfach Reports 1 Boundary Value Problems 1 Communications in Computational Physics 1 Mathematical Modelling of Natural Phenomena 1 Confluentes Mathematici 1 Bulletin of Mathematical Sciences 1 Dynamic Games and Applications 1 Communications in Applied and Industrial Mathematics 1 Journal of Theoretical Biology ...and 7 more Serials
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### Cited in 30 Fields

 319 Partial differential equations (35-XX) 171 Operations research, mathematical programming (90-XX) 126 Fluid mechanics (76-XX) 118 Numerical analysis (65-XX) 45 Systems theory; control (93-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Probability theory and stochastic processes (60-XX) 12 Biology and other natural sciences (92-XX) 10 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 4 Integral equations (45-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 3 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)