Paola Goatin

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All published works
Action Title Year Authors
+ A multi-class non-local macroscopic model with time delay for mixed autonomous / human-driven traffic 2025 Ilaria Ciaramaglia
Paola Goatin
Gabriella Puppo
+ PDF Chat Non-local traffic flow models with time delay: well-posedness and numerical approximation 2024 Ilaria Ciaramaglia
Paola Goatin
Gabriella Puppo
+ PDF Chat A multi-scale multi-lane model for traffic regulation via autonomous vehicles 2024 Paola Goatin
Benedetto Piccoli
+ PDF Chat The initial boundary value problem for second order traffic flow models with vacuum: Existence of entropy weak solutions 2023 Paola Goatin
Alexandra WĂŒrth
+ PDF Chat The Mathematical Theory of Hughes’ Model: A Survey of Results 2023 Debora Amadori
Boris AndreĂŻanov
Marco Di Francesco
Simone Fagioli
Théo Girard
Paola Goatin
Peter A. Markowich
J. -F. Pietschmann
Massimiliano D. Rosini
Giovanni Russo
+ PDF Chat Control Problems for Hamilton-Jacobi Equations Co-authored by Alexander Keimer 2021 Alexandre M. Bayen
Maria Laura Delle Monache
Mauro Garavello
Paola Goatin
Benedetto Piccoli
+ PDF Chat Introduction 2021 Alexandre M. Bayen
Maria Laura Delle Monache
Mauro Garavello
Paola Goatin
Benedetto Piccoli
+ PDF Chat Boundary Control of Conservation Laws Exhibiting Shocks 2021 Alexandre M. Bayen
Maria Laura Delle Monache
Mauro Garavello
Paola Goatin
Benedetto Piccoli
+ PDF Chat Distributed Control for Conservation Laws 2021 Alexandre M. Bayen
Maria Laura Delle Monache
Mauro Garavello
Paola Goatin
Benedetto Piccoli
+ PDF Chat A multiscale model for traffic regulation via autonomous vehicles 2020 Mauro Garavello
Paola Goatin
Thibault Liard
Benedetto Piccoli
+ PDF Chat A macroscopic traffic flow model with finite buffers on networks: well-posedness by means of Hamilton–Jacobi equations 2020 Nicolas Laurent-Brouty
Alexander Keimer
Paola Goatin
Alexandre M. Bayen
+ PDF Chat A controlled multiscale model for traffic regulation via autonomous vehicles 2019 Mauro Garavello
Paola Goatin
Thibault Liard
Benedetto Piccoli
+ PDF Chat Well‐posedness of IBVP for 1D scalar non‐local conservation laws 2019 Paola Goatin
Elena Rossi
+ PDF Chat Well-posedness of a non-local model for material flow on conveyor belts 2019 Elena Rossi
Jennifer Weißen
Paola Goatin
Simone Göttlich
+ A multi-lane macroscopic traffic flow model for simple networks 2019 Paola Goatin
Elena Rossi
+ Well-posedness of a non-local model for material flow on conveyor belts 2019 Elena Rossi
Jennifer Kötz
Paola Goatin
Simone Göttlich
+ The zero relaxation limit for the Aw–Rascle–Zhang traffic flow model 2019 Paola Goatin
Nicolas Laurent-Brouty
+ PDF Chat Regularity results for the solutions of a non-local model of traffic 2019 Florent Berthelin
Paola Goatin
+ PDF Chat A MultiLane Macroscopic Traffic Flow Model for Simple Networks 2019 Paola Goatin
Elena Rossi
+ A multi-lane macroscopic traffic flow model for simple networks 2019 Paola Goatin
Elena Rossi
+ Well-posedness of a non-local model for material flow on conveyor belts 2019 Elena Rossi
Jennifer Kötz
Paola Goatin
Simone Göttlich
+ PDF Chat Regularity results for the solutions of a non-local model of traffic flow 2019 Florent Berthelin
Paola Goatin
+ Well-posedness of IBVP for 1D scalar non-local conservation laws 2018 Paola Goatin
Elena Rossi
+ PDF Chat Lagrangian formulation for mixed traffic flow including two-wheelers 2018 Sosina Gashaw
JĂ©rĂŽme HĂ€rri
Paola Goatin
+ PDF Chat Stability estimates for non-local scalar conservation laws 2018 Felisia Angela Chiarello
Paola Goatin
Elena Rossi
+ PDF Chat Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions 2018 Oliver Kolb
Guillaume Costeseque
Paola Goatin
Simone Göttlich
+ Lagrangian formulation for mixed traffic flow including two-wheelers 2018 Sosina Gashaw
JĂ©rĂŽme HĂ€rri
Paola Goatin
+ Stability estimates for non-local scalar conservation laws 2018 Felisia Angela Chiarello
Paola Goatin
Elena Rossi
+ PDF Chat Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel 2018 Felisia Angela Chiarello
Paola Goatin
+ PDF Chat Pareto-Optimal Coupling Conditions for the Aw--Rascle--Zhang Traffic Flow Model at Junctions 2018 Oliver Kolb
Guillaume Costeseque
Paola Goatin
Simone Göttlich
+ PDF Chat Priority-based Riemann solver for traffic flow on networks 2018 Maria Laura Delle Monache
Paola Goatin
Benedetto Piccoli
+ Well-posedness of IBVP for 1D scalar non-local conservation laws 2018 Paola Goatin
Elena Rossi
+ Stability estimates for non-local scalar conservation laws 2018 Felisia Angela Chiarello
Paola Goatin
Elena Rossi
+ Lagrangian formulation for mixed traffic flow including two-wheelers 2018 Sosina Gashaw
JĂ©rĂŽme HĂ€rri
Paola Goatin
+ PDF Chat The initial–boundary value problem for general non-local scalar conservation laws in one space dimension 2017 Cristiana De Filippis
Paola Goatin
+ PDF Chat Stability estimates for scalar conservation laws with moving flux constraints 2017 Maria Laura Delle Monache
Paola Goatin
+ PDF Chat A traffic flow model with non-smooth metric interaction: Well-posedness and micro-macro limit 2017 Paola Goatin
Francesco Rossi
+ PDF Chat Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity 2016 Paola Goatin
Sheila Scialanga
+ A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit 2015 Paola Goatin
Francesco Rossi
+ PDF Chat Well-posedness of a conservation law with non-local flux arising in traffic flow modeling 2015 SĂ©bastien Blandin
Paola Goatin
+ PDF Chat Nonlocal Systems of Conservation Laws in Several Space Dimensions 2015 Aekta Aggarwal
Rinaldo M. Colombo
Paola Goatin
+ A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit 2015 Paola Goatin
Francesco Rossi
+ PDF Chat Erratum to: On entropy weak solutions of Hughes’ model for pedestrian motion 2014 N. El Khatib
Paola Goatin
Massimiliano D. Rosini
+ Scalar conservation laws with moving constraints arising in traffic flow modeling: An existence result 2014 Maria Laura Delle Monache
Paola Goatin
+ Macroscopic modeling and simulations of room evacuation 2014 Monika Twarogowska
Paola Goatin
RĂ©gis Duvigneau
+ PDF Chat Traffic modeling and management: Trends and perspectives 2014 Alexandre M. Bayen
Rinaldo M. Colombo
Paola Goatin
Benedetto Piccoli
+ PDF Chat N Dimensional Crowd Motion 2013 Jean-Paul Zolésio
Paola Goatin
+ PDF Chat Scalar conservation laws with moving density constraints arising in traffic flow modeling 2012 Maria Laura Delle Monache
Paola Goatin
+ A strongly coupled PDE-ODE system modeling moving density constraints in traffic flow 2012 Maria Laura Delle Monache
Paola Goatin
+ Conservation laws with discontinuous flux 2012 Boris AndreĂŻanov
Clément CancÚs
Paola Goatin
F. LagoutiĂšre
Nicolas Seguin
Tomohiro Takahashi
+ The Aw–Rascle traffic model with locally constrained flow 2011 Mauro Garavello
Paola Goatin
+ The Aw-Rascle traffic model with locally constrained flow 2010 Mauro Garavello
Paola Goatin
+ PDF Chat Finite volume schemes for locally constrained conservation laws 2010 Boris AndreĂŻanov
Paola Goatin
Nicolas Seguin
+ The Aw-Rascle traffic model with locally constrained flow 2010 Mauro Garavello
Paola Goatin
+ A well posed conservation law with a variable unilateral constraint 2006 Rinaldo M. Colombo
Paola Goatin
+ Global well posedness of traffic flow models with phase transitions 2006 Rinaldo M. Colombo
Paola Goatin
Fabio S. Priuli
+ The Aw-Rascle trac o w model with phase transitions 2005 Paola Goatin
+ The Riemann problem for a class of resonant hyperbolic systems of balance laws 2004 Paola Goatin
Philippe G. LeFloch
+ PDF Chat Decay of positive waves for $n \times n$ hyperbolic systems of balance laws 2004 Paola Goatin
Laurent Gosse
+ ONE-SIDED ESTIMATES AND UNIQUENESS FOR HYPERBOLIC SYSTEMS OF BALANCE LAWS 2003 Paola Goatin
+ PDF Chat $L^1$ continuous dependence for the Euler equations of compressible fluids dynamics 2003 Paola Goatin
Philippe G. LeFloch
+ Uniqueness and Stability of $ L^\infty$ Solutions for Temple Class Systems with Boundary and Properties of the Attainable Sets 2002 Fabio Ancona
Paola Goatin
+ Sharp L 1 Continuous Dependence¶of Solutions of Bounded Variation¶for Hyperbolic Systems of Conservation Laws 2001 Paola Goatin
Philippe G. LeFloch
+ Stability for Temple Class Systems with L∞ Boundary Data 2001 Paola Goatin
+ PDF Chat Stability of $L^\infty$ solutions of Temple class systems 2000 Alberto Bressan
Paola Goatin
+ Sharp L1 stability estimates for hyperbolic conservation laws 2000 Paola Goatin
Philippe G. LeFloch
+ Oleinik Type Estimates and Uniqueness for n×n Conservation Laws 1999 Alberto Bressan
Paola Goatin
+ Sul problema di Dirichlet con condizioni al bordo generalizzate per equazioni ellittiche degeneri non lineari 1995 Paola Goatin
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Well-posedness of a conservation law with non-local flux arising in traffic flow modeling 2015 SĂ©bastien Blandin
Paola Goatin
10
+ PDF Chat On the Numerical Integration of Scalar Nonlocal Conservation Laws 2014 Paulo Amorim
Rinaldo M. Colombo
Andréia Teixeira
10
+ First order quasilinear equations with boundary conditions 1979 Claude Bardos
Alain Leroux
Jean-Claude Nédélec
10
+ PDF Chat Hyperbolic Systems of Conservation Laws 2000 Alberto Bressan
9
+ PDF Chat A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC 2011 Rinaldo M. Colombo
Mauro Garavello
Magali LĂ©cureux-Mercier
9
+ PDF Chat AN INTEGRO-DIFFERENTIAL CONSERVATION LAW ARISING IN A MODEL OF GRANULAR FLOW 2012 Debora Amadori
Wen Shen
9
+ FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES 1970 S N KruĆŸkov
8
+ PDF Chat Hyperbolic systems of conservation laws 1999 Alberto Bressan
7
+ Stochastic Modeling and Simulation of Traffic Flow: Asymmetric Single Exclusion Process with Arrhenius look-ahead dynamics 2006 Alexandros Sopasakis
Markos A. Katsoulakis
7
+ PDF Chat Nonlocal Systems of Conservation Laws in Several Space Dimensions 2015 Aekta Aggarwal
Rinaldo M. Colombo
Paola Goatin
7
+ Continuous Dependence for 2×2 Conservation Laws with Boundary 1997 Debora Amadori
Rinaldo M. Colombo
6
+ Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem 2000 Alberto Bressan
6
+ PDF Chat Nonlocal Crowd Dynamics Models for Several Populations 2012 Rinaldo M. Colombo
Magali LĂ©cureux-Mercier
6
+ Solutions in the large for nonlinear hyperbolic systems of equations 1965 James Glimm
6
+ Oleinik Type Estimates and Uniqueness for n×n Conservation Laws 1999 Alberto Bressan
Paola Goatin
6
+ Polygonal approximations of solutions of the initial value problem for a conservation law 1972 Constantine M. Dafermos
5
+ Measure Theory and Fine Properties of Functions 2018 Lawrence C. Evans
Ronald F. Garzepy
5
+ The semigroup generated by 2 ïżœ 2 conservation laws 1995 Alberto Bressan
Rinaldo M. Colombo
5
+ Hyperbolic systems of conservation laws II 1957 Peter D. Lax
5
+ Boundary conditions for nonlinear hyperbolic systems of conservation laws 1988 François Dubois
Philippe Le Floch
5
+ A well posed conservation law with a variable unilateral constraint 2006 Rinaldo M. Colombo
Paola Goatin
4
+ PDF Chat Control of the continuity equation with a non local flow 2010 Rinaldo M. Colombo
Michaël Herty
Magali Mercier
4
+ Divergence-Measure Fields and Hyperbolic Conservation Laws 1999 Gui‐Qiang Chen
Hermano Frid
4
+ Uniqueness and Stability of $ L^\infty$ Solutions for Temple Class Systems with Boundary and Properties of the Attainable Sets 2002 Fabio Ancona
Paola Goatin
4
+ Initial-boundary value problems for nonlinear systems of conservation laws 1997 Debora Amadori
4
+ PDF Chat Finite volume schemes for locally constrained conservation laws 2010 Boris AndreĂŻanov
Paola Goatin
Nicolas Seguin
4
+ PDF Chat On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients 2003 Kenneth H. Karlsen
Nils Henrik Risebro
4
+ PDF Chat Systems of conservation laws with invariant submanifolds 1983 Blake Temple
4
+ Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws 2000 Alberto Bressan
Graziano Crasta
Benedetto Piccoli
4
+ Existence, uniqueness and regularity results on nonlocal balance laws 2017 Alexander Keimer
Lukas Pflug
4
+ The semigroup generated by a Temple class system with large data 1997 Paolo Baiti
Alberto Bressan
4
+ The unique limit of the Glimm scheme 1995 Alberto Bressan
4
+ Uniqueness for discontinuous ODE and conservation laws 1998 Alberto Bressan
Wen Shen
3
+ Hyperbolic Phase Transitions in Traffic Flow 2003 Rinaldo M. Colombo
3
+ PDF Chat An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections 2009 Raimund BĂŒrger
Kenneth H. Karlsen
John D. Towers
3
+ PDF Chat Handling congestion in crowd motion modeling 2011 Bertrand Maury
Aude Roudneff-Chupin
Filippo Santambrogio
Juliette Venel
3
+ PDF Chat Kruzkov’s estimates for scalar conservation laws revisited 1998 François Bouchut
Benoı̂t Perthame
3
+ PDF Chat Shock formation in a traffic flow model with Arrhenius look-ahead dynamics 2011 Dong Li
Tong Li
3
+ PDF Chat Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains 2002 Julien Vovelle
3
+ PDF Chat Monotone difference approximations for scalar conservation laws 1980 Michael G. Crandall
Andrew J. Majda
3
+ Explicit formula for scalar non‐linear conservation laws with boundary condition 1988 Philippe Le Floch
3
+ On the Attainable Set for Scalar Nonlinear Conservation Laws with Boundary Control 1998 Fabio Ancona
Andrea Marson
3
+ An Existence and Uniqueness Result for Two Nonstrictly Hyperbolic Systems 1990 Philippe Le Floch
3
+ Uniqueness via the adjoint problems for systems of conservation laws 1993 Philippe Le Floch
Zhouping Xin
3
+ Mixed systems: ODEs – Balance laws 2011 Raul Borsche
Rinaldo M. Colombo
Mauro Garavello
3
+ Global BV Entropy Solutions and Uniqueness for Hyperbolic Systems of Balance Laws 2002 Debora Amadori
Laurent Gosse
Graziano Guerra
3
+ Global solutions of systems of conservation laws by wave-front tracking 1992 Alberto Bressan
3
+ Regularity Theory and Adjoint-Based Optimality Conditions for a Nonlinear Transport Equation with Nonlocal Velocity 2014 Michael Gröschel
Alexander Keimer
GĂŒnter Leugering
Zhiqiang Wang
3
+ Well posedness of balance laws with boundary 2005 Rinaldo M. Colombo
Massimiliano D. Rosini
3
+ PDF Chat Numerical Methods for One-Dimensional Aggregation Equations 2015 François James
Nicolas Vauchelet
3