Rinaldo M. Colombo (home, profile, researchID)
Selected Publications
Papers
Preprints To appear 2010 2009 2008 2007 2006 2005 2004 2003 2002 Before
Preprints
Rinaldo M. Colombo, Paola Goatin, Massimiliano D. Rosini
On the Modeling and Management of Traffic
Preprint, 2010
Raul Borsche, Rinaldo M. Colombo, Mauro Garavello
On the Coupling of Systems of Hyperbolic Conservation Laws with Ordinary Differential Equations
Preprint, 2010
Rinaldo M. Colombo, Graziano Guerra, Francesca Monti
Modeling the Dynamics of Granular Matter
Preprint, 2009
Stefano Bianchini, Rinaldo M. Colombo, Francesca Monti
2×2 Systems of Conservation Laws with L∞ Data
Preprint, 2009
Rinaldo M. Colombo, Mauro Garavello
On the 1D Modeling of Fluid Flowing through a Junction
Preprint, 2009
To appear
Rinaldo M. Colombo, Francesca Marcellini
Coupling Conditions for the 3×3 Euler System
To appear on Networks and Hetergeneous Media
Rinaldo M. Colombo, Michael Herty, Magali Mercier
Control of the Continuity Equation with a Non Local Flow
To appear on ESAIM COCV
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
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, 1017-1043, 2010
Rinaldo M. Colombo, Francesca Marcellini
Smooth and Discontinuous Junctions in the p-System
Journal of Matematical Analysis and Applications 361, 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
2009
Rinaldo M. Colombo, Graziano Guerra, Michael Herty, Veronika Sachers
Modeling and 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, 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
Rinaldo M. Colombo, Graziano Guerra
Differential Equations in Metric Spaces with Applications
Discrete and Continuous Dynamical Systems, Series A, 23, 3, 733-753, 2009
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, no. 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, no. 5, 1077-1090, 2008
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
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, 12, p.1917-1939, 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
Rinaldo M. Colombo, Andrea Corli
Well Posedness for Multilane Traffic Models
Annali dell'Università di Ferrara Sez. VII Sci. Mat. 52, no. 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
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
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
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, no. 4, p.759-772, 2003
Rinaldo M. Colombo, Andrea Corli
On 2×2 Conservation Laws with Large Data
Nonlinear Differential Equations and Applications 10, no. 3, p.255-268, 2003
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
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
As Contributor
Rinaldo M. Colombo
Well Posedness and Control in Models Based on Conservation Laws
IMA Summer Program Nonlinear Conservation Laws and Applications
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
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
As Editor
Fabio Ancona, Stefano Bianchini, Rinaldo M. Colombo, Camillo De Lellis, Andrea Marson, Annamaria Montanari (editori)
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, ISSN 1660-8933, vol. 11, p.513-556, 2008