Rinaldo M. Colombo - Publications

Papers, Proceedings, Lecture Notes, Outreach.

For further information: MathSci profile, Zentralblatt profile, ORCID, dblp, Scopus, WoS, researcherID, Google scholar, Local Preprint Server, arxiv.

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Papers

Preprints, To appear, 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, Before
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Preprints

Rinaldo M. Colombo, Elena Rossi
Non Local Conservation Laws in Bounded Domains
Preprint, 2017

Rinaldo M. Colombo, Graziano Guerra
Conservation Laws with Coinciding Smooth Solutions but Different Conserved Variables
Preprint, 2017

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To appear

Rinaldo M. Colombo, Elena Rossi
IBVPs for Scalar Conservation Laws with Time Discontinuous Fluxes
To appear on Mathematical Methods in the Applied Sciences
Preprint, 2017

Rinaldo M. Colombo, Piotr Gwiazda, Magdalena Rosinska
Optimization in Structured Population Models through the Escalator Boxcar Train
To appear on ESAIM - COCV

Preprint, 2016

Rinaldo M. Colombo, Elena Rossi
Stability of the 1D IBVP for a Non Autonomous Scalar Conservation Laws
To appear on the Proceedings of the Royal Society of Edinburgh
Preprint, 2016

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2017

Rinaldo M. Colombo, Graziano Guerra
Uniqueness of the 1D Compressible to Incompressible Limit
Nonlinear Differential Equations and Applications, 24, 52, 2017
Preprint, 2016

Rinaldo M. Colombo, Mauro Garavello
Control of Biological Resources on Graphs
ESAIM - COCV, 23, 3, 1073-1097, 2017

Preprint, 2015

Rinaldo M. Colombo, Mauro Garavello
Polynomial Profits in Renewable Resources Management
Nonlinear Analysis: Real World Applications, 37, 374-386, 2017

Preprint, 2016

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2016

Rinaldo M. Colombo, Graziano Guerra
A coupling between a non-linear 1D compressible-incompressible limit and the 1D p-system in the non smooth case
Networks and Heterogeneous Media, 11(2):313-330, 2016

Rinaldo M. Colombo, Francesca Marcellini, Elena Rossi
Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results
Networks and Heterogeneous Media, 11(1):49-67, 2016

Rinaldo M. Colombo, Graziano Guerra
BV Solutions to 1D Isentropic Euler Equations in the Zero Mach Number Limit
Journal of Hyperbolic Differential Equations, 13, 4, 685-718, 2016

Preprint, 2015

Rinaldo M. Colombo, Helge Holden
Isentropic Fluid Dynamics in a Curved Pipe
Zeitschrift für Angewandte Mathematik und Physik, 67(5), 1-10, 2016

Preprint, 2015

Rinaldo M. Colombo, Graziano Guerra
Characterization of the Solutions to ODE-PDE Systems
Applied Mathematics Letters, 62, 69-75, 2016
Preprint, 2016

Rinaldo M. Colombo, Francesca Marcellini
A Traffic Model Aware of Real Time Data
Mathematical Models and Methods in Applied Sciences, 26, 3, 445-467, 2016

Preprint, 2014

Rinaldo M. Colombo, Helge Holden
On the Braess Paradox with Nonlinear Dynamics and Control Theory
Journal of Optimization Theory and Applications, 168, 1, 216-230, 2016

Preprint, 2014 (arxiv)

Rinaldo M. Colombo, Graziano Guerra, Veronika Schleper
The Compressible to Incompressible Limit of 1D Euler Equations: the Non Smooth Case
Archive for Rational Mechanics and Analysis, 219, 2, 701-718, 2016

Preprint, 2013

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2015

Rinaldo M. Colombo, Francesca Marcellini
NonLocal Systems of Balance Laws in Several Space Dimensions with Applications to Laser Technology
Journal of Differential Equations, 259, 11, 6749-6773, 2015

Preprint, 2015

Raul Borsche, Rinaldo M. Colombo, Mauro Garavello, Anne Meurer
Differential Equations Modeling Crowd Interactions
Journal of Nonlinear Science, 25, 4, 827-859, 2015

Preprint, 2014

Rinaldo M. Colombo, Elena Rossi
Rigorous Estimates on Balance Laws in Bounded Domains
Acta Mathematica Scientia, 35, 4, 906-944, 2015

Preprint, 2015

Aekta Aggarwal, Rinaldo M. Colombo, Paola Goatin
Nonlocal Systems of Conservation Laws in Several Space Dimensions
SIAM Journal on Numerical Analysis, 53, 2, 963-983, 2015

Preprint, 2014

Rinaldo M. Colombo, Francesca Marcellini
A Mixed ODE-PDE Model for Vehicular Traffic
Mathematical Methods in the Applied Sciences, 38, 7, 1292-1302, 2015

Preprint, 2013

Paulo Amorim, Rinaldo M. Colombo, Andreia Teixeira
On the Numerical Integration of Scalar Nonlocal Conservation Laws
ESAIM M2AN, 49, 1, 19-37, 2015

Preprint, 2013

Rinaldo M. Colombo, Mauro Garavello
Stability and Optimization in Structured Population Models on Graphs
Mathematical Biosciences and Engineering, 12, 2, 311-335, 2015
Preprint, 2014

Rinaldo M. Colombo, Elena Rossi
Hyperbolic Predators vs. Parabolic Prey
Communications in Mathematical Sciences, 13, 2, 369-400, 2015
Preprint, 2013

Rinaldo M. Colombo, Thomas Lorenz, Nikolay Pogodaev
On the Modeling of Moving Populations through Set Evolution Equations
Discrete and Continuous Dynamical Systems, Series A, 35, 1, 73-98, 2015

Preprint, 2013

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2014

Rinaldo M. Colombo, Elena Rossi
On the Micro-Macro Limit in Traffic Flow
Rendiconti dell'Università di Padova, 131, 217-235, 2014

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2013

Raul Borsche, Rinaldo M. Colombo, Mauro Garavello
On the Interactions between a Solid Body and a Compressible Inviscid Fluid
Interfaces and Free Boundaries, 15, 3, 381-403, 2013

Rinaldo M. Colombo, Graziano Guerra, Michael Herty, Francesca Marcellini
A Hyperbolic Model for the Laser Cutting Process
Applied Mathematical Modelling, 37, 14-15, 7810-7821, 2013

Rinaldo M. Colombo, Nikolay Pogodaev
On the Control of Moving Sets: Positive and Negative Confinement Results
SIAM Journal on Control and Optimization, 51, 1, 380-401, 2013

Preprint

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2012

Rinaldo M. Colombo, Graziano Guerra, Wen Shen
Lipschitz Semigroup for an Integro-Differential Equation for Slow Erosion
Quarterly of Applied Mathematics, 70, 539-578, 2012

Preprint, 2011

Rinaldo M. Colombo, Francesca Ferrari, Mauro Garavello, Giulio Maternini
2-Phase Hyperbolic Models for Urban Traffic
International Journal of Roads and Airports, 2, 1, 1-12, 2012

Rinaldo M. Colombo, Nikolay Pogodaev
Confinement Strategies in a Model for the Interaction between Individuals and a Continuum
SIAM Journal on Applied Dynamical Systems, 11, 2, 741-770, 2012

Correlated videos.
Preprint

Rinaldo M. Colombo, Veronika Schleper
Two-Phase Flows: Non-smooth Well Posedness and the Compressible to Incompressible Limit
Nonlinear Analysis: Real World Applications, 13, 5, 2195-2213, 2012

Rinaldo M. Colombo, Mauro Garavello, Magali Lécureux-Mercier
A Class of Non-Local Models for Pedestrian Traffic

Comptes Rendus Mathematique, 349, 769-772, 2011
Mathematical Models and Methods in Applied Sciences, 22, 4, 2012
Preprint, 2011

José A. Carrillo, Rinaldo M. Colombo, Piotr Gwiazda, Agnieszka Ulikowska
Structured Populations, Cell Growth and Measure Valued Balance Laws
Journal of Differential Equations, 252, 4, 3245-3277, 2012

Preprint, 2011

Rinaldo M. Colombo, Magali Lécureux-Mercier
An Analytical Framework to Describe the Interactions Between Individuals and a Continuum
Journal of Nonlinear Science, 22, 1, 39-61, 2012

Preprint, 2010

Raul Borsche, Rinaldo M. Colombo, Mauro Garavello
Mixed Systems: ODEs - Balance Laws
Journal of Differential Equations, 252, 3, 2311-2338, 2012

Rinaldo M. Colombo, Graziano Guerra, Francesca Monti
Modeling the Dynamics of Granular Matter
IMA Journal of Applied Mathematics, 77, 2, 148-156, 2012

Preprint, 2009

Rinaldo M. Colombo, Magali Lécureux-Mercier
Nonlocal Crowd Dynamics Models for Several Populations
Acta Mathematica Scientia, 32, 1, 177-196, 2012

Preprint, 2011

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2011

Anna Cattani, Rinaldo M. Colombo, Graziano Guerra
A Hyperbolic Model for Granular Flow
Zeitschrift für Angewandte Mathematik und Mechanik, 92, 1, 72-88, 2011

Rinaldo M. Colombo, Michael Herty, Magali Mercier
Control of the Continuity Equation with a Non Local Flow
ESAIM COCV, 17, 2, 353-379, 2011

Preprint, 2009

Rinaldo M. Colombo, Paola Goatin, Massimiliano D. Rosini
On the Modeling and Management of Traffic
ESAIM M2AN 45, 853-872, 2011

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2010

Rinaldo M. Colombo, Francesca Marcellini
Coupling Conditions for the 3×3 Euler System
Networks and Hetergeneous Media 5, 4, 675-690, 2010

Stefano Bianchini, Rinaldo M. Colombo, Francesca Monti
2×2 Systems of Conservation Laws with L Data
Journal of Differential Equations 249, 12, 3466-3488, 2010

Raul Borsche, Rinaldo M. Colombo, Mauro Garavello
On the Coupling of Systems of Hyperbolic Conservation Laws with Ordinary Differential Equations
Nonlinearity 23, 11, 2749-2770, 2010

Preprint, 2010

Rinaldo M. Colombo, Francesca Marcellini, Michel Rascle
A 2-phase traffic model based on a speed bound
SIAM Journal on Applied Mathematics 70, 7, 2652-2666, 2010

Preprint, 2009

Rinaldo M. Colombo, Paola Goatin, Benedetto Piccoli
Road Networks with Phase Transitions
Journal of Hyperbolic Differential Equations 7, 1, 85-106, 2010

Rinaldo M. Colombo, Graziano Guerra
On General Balance Laws with Boundary
Journal of Differential Equations 248, 5, 1017-1043, 2010

Preprint, 2008

Rinaldo M. Colombo, Francesca Marcellini
Smooth and Discontinuous Junctions in the p-System
Journal of Matematical Analysis and Applications 361, 2, 440-456, 2010

Rinaldo M. Colombo, Francesca Monti
Solutions with Large Total Variation to Nonconservative Hyperbolic Systems
Communications on Pure and Applied Analysis 9, 1, 47-60, 2010

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2009

Rinaldo M. Colombo, Graziano Guerra, Michael Herty, Veronika Sachers
Optimal Control of Networks of Pipes and Canals
SIAM Journal on Control and Optimization 48, 3, 2032-2050, 2009

Rinaldo M. Colombo, Massimiliano D. Rosini
Existence of Nonclassical Solutions in a Pedestrian Flow Model
Nonlinear Analysis: Real World Applications 10, 5, 2716-2728, 2009

Rinaldo M. Colombo, Magali Mercier, Massimiliano D. Rosini
Stability and Total Variation Estimates on General Scalar Balance Laws
Communications in Mathematical Sciences 7, 1, 37-65, 2009
Comptes Rendus Mathematique, 347, 1-2, 45-48, 2009

Rinaldo M. Colombo, Graziano Guerra
Differential Equations in Metric Spaces with Applications
Discrete and Continuous Dynamical Systems, Series A 23, 3, 733-753, 2009

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2008

Rinaldo M. Colombo, Michael Herty, Veronika Sachers
On 2×2 Conservation Laws at a Junction
SIAM Journal on Mathematical Analysis 40, 2, 605-622, 2008

Rinaldo M. Colombo, Cristina Mauri
Euler System for Compressible Fluids at a Junction
Journal of Hyperbolic Differential Equations 5, 3, 547-568, 2008

Rinaldo M. Colombo, Graziano Guerra
Hyperbolic Balance Laws with a Dissipative Non Local Source
Communications on Pure and Applied Analysis 7, 5, 1077-1090, 2008

Preprint, 2007

Daniela Calvo, Rinaldo M. Colombo, Hermano Frid
L1 Stability of Spatially Periodic Solutions in Relativistic Gas Dynamics
Communications in Mathematical Physics 284, 2, p.509-535, 2008

Rinaldo M. Colombo, Graziano Guerra
On the Stability Functional for Conservation Laws
Nonlinear Analysis: Theory, Methods & Applications 69, 5-6, p.1581-1598, 2008

Rinaldo M. Colombo, Mauro Garavello
On the Cauchy Problem for the p-System at a Junction
SIAM Journal on Mathematical Analysis 39, 5, p.1456-1471, 2008

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2007

Rinaldo M. Colombo, Massimiliano D. Rosini
Well Posedness of Balance Laws with Non-Characteristic Boundary
Bollettino dell'Unione Matematica Italiana (8), 10-B, p.875-894, 2007

Rinaldo M. Colombo, Graziano Guerra
Hyperbolic Balance Laws with a Non Local Source
Communications in Partial Differential Equations 32, 10-12, p.1917-1939, 2007

Preprint, 2007

Rinaldo M. Colombo, Andrea Corli, Massimiliano D. Rosini
Non Local Balance Laws in Traffic Models and Crystal Growth
Zeitschrift für Angewandte Mathematik und Mechanik, 87, 6, p.449-461, 2007

Rinaldo M. Colombo, Paola Goatin
A Well Posed Conservation Law with a Variable Unilateral Constraint
Journal of Differential Equations, 234, 2, p.654-675, 2007

Rinaldo M. Colombo, Paola Goatin, Fabio S. Priuli
Global Well Posedness of a Traffic Flow Model with Phase Transitions
Nonlinear Analysis: Theory, Methods & Applications, 66, No. 11 (A), p.2413-2426, 2007

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2006

Rinaldo M. Colombo, Andrea Corli
Well Posedness for Multilane Traffic Models
Annali dell'Università di Ferrara Sez. VII Sci. Mat. 52, 2, 291-301, 2006

Rinaldo M. Colombo, Mauro Garavello
A Well Posed Riemann Problem for the p-System at a Junction
Networks and Heterogeneous Media, 1, 3, p.495-511, 2006

Patrizia Bagnerini, Rinaldo M. Colombo, Andrea Corli
On the Role of Source Terms in Continuum Traffic Flow Models
Mathematical and Computer Modelling, 44, 9-10, p.917-930, 2006

Sylvie Benzoni-Gavage, Rinaldo M. Colombo, Piotr Gwiazda
Measured Valued Solutions to Conservation Laws Motivated by Traffic Modeling
Proceedings of the Royal Society A, 462, 2070, p.1791-1803, 2006

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2005

Rinaldo M. Colombo, Piotr Gwiazda
Sensitivity from the Constitutive Relations in Materials with Memory
Continuum Mechanics and Thermodynamics, 17, 2, p.159-164, 2005

Rinaldo M. Colombo, Piotr Gwiazda
L1 Stability of Semigroups with respect to their Generators
Quarterly of Applied Mathematics, 63, 3, p.509-526, 2005

Rinaldo M. Colombo, Massimiliano D. Rosini
Pedestrian Flows and Nonclassical Shocks
Mathematical Methods in the Applied Sciences, 28, 13, p.1553-1567, 2005

Rinaldo M. Colombo, Massimiliano D. Rosini
Well Posedness of Balance Laws with Boundary
Journal of Mathematical Analysis and Applications, 311, 2, p.683-702, 2005

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2004

Rinaldo M. Colombo, Andrea Corli
Sonic and Kinetic Phase Transitions with Applications to Chapman-Jouguet Deflagrations
Mathematical Methods in the Applied Sciences, 27, p.843-864, 2004

Rinaldo M. Colombo, Andrea Corli
Stability of the Riemann Semigroup with Respect to the Kinetic Condition
Quarterly of Applied Mathematics, 62, 3, p.541-551, 2004

Rinaldo M. Colombo, Andrea Corli
A Semilinear Structure on Semigroups in a Metric Space
Semigroup Forum, 68, 3, p.419-444, 2004

Rinaldo M. Colombo, Andrea Corli
On a Class of Hyperbolic Balance Laws
Journal of Hyperbolic Differential Equations, 1, 4, p.725-745, 2004

Rinaldo M. Colombo, Alessandro Groli
On the Optimization of a Conservation Law
Calculus of Variations and P.D.E.s, 19, 3, p.269-280, 2004

Rinaldo M. Colombo, Alessandro Groli
Minimising Stop and Go Waves to Optimise Traffic Flow
Applied Mathematics Letters, 17, 6, p.697-701, 2004

Rinaldo M. Colombo, Alessandro Groli
On the Initial Boundary Value Problem for Temple Systems
Nonlinear Analysis: Theory, Methods & Applications, 56/4, p.569-589, 2004

Rinaldo M. Colombo, Alessandro Groli
On the Optimization of the Initial Boundary Value Problem for a Conservation Law
Journal of Mathematical Analysis and Applications, 291/1, p.82-99, 2004

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2003

Sylvie Benzoni - Gavage, Rinaldo M. Colombo
An n-Populations Model for Traffic Flow
European Journal of Applied Mathematics, 14, n°5, p.587-612, 2003

Rinaldo M. Colombo, Fabio S. Priuli
Characterization of Riemann Solvers for the Two Phase p-System
Communications in Partial Differential Equations, 28 (7&8), p.1371-1390, 2003

Rinaldo M. Colombo, Andrea Marson
A Hölder Continuous ODE Related to Traffic Flow
Proceedings of the Royal Society of Edinburgh, Section A 133, 4, p.759-772, 2003

Rinaldo M. Colombo, Andrea Corli
On 2×2 Conservation Laws with Large Data
Nonlinear Differential Equations and Applications, 10, 3, p.255-268, 2003

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2002

Stefano Bianchini, Rinaldo M. Colombo
On the Stability of the Standard Riemann Semigroup
Proceedings of the American Mathematical Society, 130, n°7, p.1961-1973, 2002

Rinaldo M. Colombo
On a 2×2 Hyperbolic Traffic Flow Model
Mathematical and Computer Modeling, p.35-36, 2002

Rinaldo M. Colombo
Hyperbolic Phase Transitions in Traffic Flow
SIAM Journal on Applied Mathematics, 63 (2), p.708-721, 2002

Rinaldo M. Colombo, Andrea Corli
Sonic Hyperbolic Phase Transitions and Chapman Jouguet Detonations
Journal of Differential Equations, 184, p.321-347, 2002

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Before

Rinaldo M. Colombo, Andrea Corli
Continuous Dependence in Conservation Laws with Phase Transitions
SIAM Journal of Mathematical Analysis, 31 (1), p.34-62, 1999

Alberto Bressan, Rinaldo M. Colombo
Decay of Positive Waves in Nonlinear Systems of Conservation Laws
Annali della Scuola Normale Superiore, Pisa Cl. Sci. (4), 26 (1), p.133-160, 1998

Rinaldo M. Colombo, Nils H. Risebro
Continuous Dependence in the Large for Some Equations of Gas Dynamics
Communications in Partial Differential Equations, 23 (9 &10), p.1693-1718, 1998

Debora Amadori, Rinaldo M. Colombo
Continuous Dependence for 2×2 Conservation Laws with Boundary
Journal of Differential Equations, 138 (2), p.229-266, 1997

Alberto Bressan, Rinaldo M. Colombo
The Semigroup Generated by 2×2 Conservation Laws
Archive for Rational Mechanics and Analysis, 133 (1), p.1-75, 1995

Alberto Bressan, Rinaldo M. Colombo
Unique Solutions of 2×2 Conservation Laws with Large Data
Indiana University Mathematics Journal, 44 (3), p.677-725, 1995

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Proceedings

Rinaldo M. Colombo, Maria Gokieli, Massimiliano D. Rosini
Modeling Crowd Dynamics through Hyperbolic - Elliptic Equations
To appear on Partial Differential Equations, Mathematical Physics, and Stochastic Analysis A Volume in Honor of Helge Holden's 60th Birthday.
Editors: F. Gesztesy, H. Hanche-Olsen, E. Jakobsen, Y. Lyubarskii, N.H. Risebro e K. Seip.
Preprint 2016

Rinaldo M. Colombo, Elena Rossi
Non Autonomous Scalar Conservation Laws in Traffic Modelling
Preprint, 2016

Rinaldo M. Colombo, Mauro Garavello
Phase Transition Model for Traffic at a Junction
XXV International Seminar on Stability Problems for Stochastic Models
Journal of Mathematical Sciences 196, 1, p.30-36, 2014

Rinaldo M. Colombo
Hyperbolic Conservation Laws and Ordinary Differential Equations
Thirteenth International Conference on ``Hyperbolic Problems: Theory, Numerics and Applications''
Series in Contemporary Applied Mathematics, CAM 17, Beijing, 2012

Rinaldo M. Colombo, Paola Goatin, Massimiliano D. Rosini
A Macroscopic Model for Pedestrian Flows in Panic Situations
Mathematical Sciences and Applications, 32, p.255-272, 2010

Rinaldo M. Colombo, Paola Goatin, Giulio Maternini, Massimiliano D. Rosini
Macroscopic Models for Pedestrian Flows
Proceedings of the International Conference Big Events and Transport
IUAV - TTL Research Unit, p.11-22, 2010

Rinaldo M. Colombo
Well Posedness and Control in Models Based on Conservation Laws

IMA Summer Program Nonlinear Conservation Laws and Applications, 2009
Preprint 2009

Rinaldo M. Colombo, Paola Goatin, Massimiliano D. Rosini
Conservation Laws with Unilateral Constraints in Traffic Modeling
In Applied and Industrial Mathematics in Italy III E. De Bernardis, R. Spigler, V. Valente editors
Series on Advances in Mathematics for Applied Sciences, 82, p.244-255, 2009

Rinaldo M. Colombo, Paola Goatin, Giulio Maternini, Massimiliano D. Rosini
Using conservation Laws in Pedestrian Modeling.
In Transport Management and Land-Use Effects in Presence of Unusual Demand
Proceedings of the meeting SIDT 2009, L. Mussone, U. Crisalli editors. p.73-79, 2009

Rinaldo M. Colombo, Graziano Guerra
Balance Laws as Quasidifferential Equations in Metric Spaces
In Hyperbolic Problems: Theory, Numerics and Applications, Hyp2008 conference
College Park, Maryland, USA. E. Tadmor, J.-G. Luo, A.E. Tzavaras editors
Proceedings of Symposia in Applied Mathematics, 67, 2, p.527-536, 2009

Rinaldo M. Colombo, Giancarlo Facchi, Giulio Maternini, Massimiliano D. Rosini
On the Continuum Modeling of Crowds In Hyperbolic Problems: Theory, Numerics and Applications, Hyp2008 conference
College Park, Maryland, USA. E. Tadmor, J.-G. Luo, A.E. Tzavaras editors
Proceedings of Symposia in Applied Mathematics, 67, 2, p.517-526, 2009

Rinaldo M. Colombo, Mauro Garavello
Comparison Among Different Notions of Solution for the p-System at a Junction
Proceedings of The 7th AIMS Conference on Dynamical Systems and Differential Equations, Arlington, Texas, 2008
Discrete and Continuous Dynamical Systems, Supplement Volume, p.181-190, 2009

Rinaldo M. Colombo
Phase Transitions in Car Traffic & Pedestrian Flow Modeling
Oberwolfach Report 0809b, p.520-523, 2008

Rinaldo M. Colombo, Graziano Guerra
Non Local Sources in Hyperbolic Conservation Laws with Applications
Eleventh International Conference on Hyperbolic Problems Theory, Numerics, Applications, 2008

Rinaldo M. Colombo, Andrea Corli
On the Operator Splitting Method: Nonlinear Balance Laws and a Generalization of Trotter-Kato Formulas
Trends in Mathematics, VI, p.91-100, 2007

Rinaldo M. Colombo, Mauro Garavello
On the p-System at a Junction
Contemporary Mathematics, 426, p.193-217, 2007

Rinaldo M. Colombo, Andrea Corli
On Source Terms in Multilane Traffic Models
Communications to SIMAI Congress, VIII SIMAI Congress, 2006

Rinaldo M. Colombo, Paola Goatin
Traffic Flow Models with Phase Transitions
Flow, Turbulence and Combustion, 76, 4, p.383-390, 2006

Rinaldo M. Colombo, Andrea Corli
Dynamic Parameters Identification in Traffic Flow Modeling
Discrete Continuous Dynamical Systems, suppl., p.190-199, 2005

Rinaldo M. Colombo, Alessandro Groli
Optimisation of a Conservation Law
Information Processing: Recent Mathematical Advances in Optimization and Control.
Mathematical and Computational Sciences Series
J. Cagnol, J.-P. Zolesio editors. Presses de l'Ecole des Mines de Paris, 2004.

Patrizia Bagnerini, Rinaldo M. Colombo, Andrea Corli, Simone Pedretti
Conservation versus Balance Laws in Traffic Flow
Proceedings of the conference Traffic and Granular Flow 2003
P.H.L. Bovy, S.P. Hoogendoorn, M. Schreckenberg, D.E. Wolf editors, p.235-240, 2005.

Rinaldo M. Colombo
Modeling and Managing Traffic Flow through Hyperbolic Conservation Laws
Proceedings of the conference Traffic and Granular Flow 2003
P.H.L. Bovy, S.P. Hoogendoorn, M. Schreckenberg, D.E. Wolf editors, p.229-234, 2005.

Rinaldo M. Colombo, Giulio Maternini
A New Simulation Model for the Management of Unstable Traffic Flow
In New Technologies and Modeling for Roads: Applications to Design and Management
Atti del Convegno SIIV, Firenze 2004.

Rinaldo M. Colombo
Phase Transitions in Hyperbolic Conservation Laws
Progress in analysis, Vol. I, II (Berlin, 2001), p.1279-1287,  World Scientific, 2003

Rinaldo M. Colombo
Phase Transitions in a Traffic Flow Model
Proceedings in Applied Mathematics and Mechanics 3, p.20-23, 2003

Rinaldo M. Colombo, Andrea Marson
Conservation laws and O.D.E.s. A traffic problem
Hyperbolic problems: theory, numerics, applications, p.455-461, Springer, Berlin, 2003

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As Editor

Rinaldo M. Colombo, Kenneth H. Karlsen, Frédéric Lagoutière and Andrea Marson
Contemporary Topics in Conservation laws
Networks and Heterogeneous Media, 11, 1, 2016

Azmy Ackleh, Rinaldo M. Colombo, Adrian Muntean, Sander Hille
Modeling with Measures
Mathematical Biosciences and Engineering}, 12, 2, 2015

Rinaldo M. Colombo, Philippe LeFloch, Christian Rohde
Hyperbolic Techniques for Phase Dynamics
Oberwolfach Report No. 29/2013

Rinaldo M. Colombo, Benedetto Piccoli
Special Issue on Crowd Dynamics: Results and Perspectives
Networks and Heterogeneous Media, 6, 3, 2011

Fabio Ancona, Stefano Bianchini, Rinaldo M. Colombo, Camillo De Lellis, Andrea Marson, Annamaria Montanari
Transport Equations and Multi-D Hyperbolic Conservation Laws
Lecture Notes of the Unione Matematica Italiana, Vol. 5, 2008.

Rinaldo M. Colombo, Dietmar Kröner, Philippe G. LeFloch
Hyperbolic Aspects of Phase Transition Dynamics
Oberwolfach Report No. 11/2008


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Lecture Notes

(Comments and criticisms on the notes below are warmly welcome!!!)

Rinaldo M. Colombo
BV Solutions to Hyperbolic Conservation Laws
Course delivered at the 2015 Shanghai Summer School

Rinaldo M. Colombo
An Introductory Guide to References on Conservation Laws
Warsaw University, 2014

Rinaldo M. Colombo
Wave Front Tracking in Systems of Conservation Laws

Course delivered at the school Mathematical Theory in Fluid Mechanics
Applications of Mathematics, 49, 6, 501-537, 2004
Paseky, 2003

Rinaldo M. Colombo
Analisi Funzionale - Note Integrative
(In Italian. Revised 2011 edition)

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Outreach

Rinaldo M. Colomb, Francesca Marcellini
Traffico Veicolare e Dinamica di Pedoni attraverso le Leggi di Conservazione
Quaderno 14, Dipartimento di Matematica e Fisica del Liceo "Respighi", Piacenza, 2014

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