His primary areas of study are Conservation law, Mathematical analysis, Initial value problem, Applied mathematics and Riemann problem. His Conservation law study incorporates themes from Semigroup, Flow, Boundary value problem, Scalar and Point. The various areas that Rinaldo M. Colombo examines in his Scalar study include Phase transition, Pedestrian, Crowd dynamics, Theoretical physics and Calculus.
His Well posedness, Lipschitz continuity and Boundary data study in the realm of Mathematical analysis interacts with subjects such as Mixed systems. His study looks at the relationship between Initial value problem and fields such as Hyperbolic partial differential equation, as well as how they intersect with chemical problems. His studies examine the connections between Applied mathematics and genetics, as well as such issues in Traffic flow, with regards to Stability, Overtaking, Spite, Generalization and Geometry.
Conservation law, Mathematical analysis, Applied mathematics, Well posedness and Initial value problem are his primary areas of study. He has researched Conservation law in several fields, including Traffic flow, Cauchy problem, Boundary value problem, Scalar and Nonlinear system. His Mathematical analysis study frequently draws connections between adjacent fields such as Flow.
In the field of Applied mathematics, his study on Ode overlaps with subjects such as Extension. His Well posedness research is multidisciplinary, incorporating elements of Law and Well-posed problem. His Semigroup study combines topics from a wide range of disciplines, such as Riemann hypothesis and Lipschitz continuity.
His scientific interests lie mostly in Applied mathematics, Conservation law, Well posedness, Mathematical analysis and Mathematical optimization. His study in Applied mathematics is interdisciplinary in nature, drawing from both Bounded function and Nash equilibrium. As part of the same scientific family, Rinaldo M. Colombo usually focuses on Conservation law, concentrating on Scalar and intersecting with Space dimension.
As a part of the same scientific family, Rinaldo M. Colombo mostly works in the field of Well posedness, focusing on Well-posed problem and, on occasion, Crowd dynamics. Rinaldo M. Colombo interconnects Compressibility and Curvature in the investigation of issues within Mathematical analysis. His work carried out in the field of Mathematical optimization brings together such families of science as Mathematical economics and Partial differential equation.
His primary scientific interests are in Mathematical analysis, Conservation law, Crowd dynamics, Space dimension and Scalar. His study in the field of Euler equations and Limit is also linked to topics like Operator. His studies deal with areas such as Mathematical economics and Boundary value problem as well as Conservation law.
His Boundary value problem study combines topics in areas such as Characterization, Metric, Uniqueness and Ordinary differential equation. His Crowd dynamics research is multidisciplinary, relying on both Human–computer interaction, Class, Boundary, Bounded function and Domain. His research in Compressibility intersects with topics in Coupling, Riemann problem and Classical mechanics.
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Pedestrian flows and non-classical shocks
Rinaldo Mario Colombo;Massimiliano Daniele Rosini.
Mathematical Methods in The Applied Sciences (2005)
Hyperbolic Phase Transitions in Traffic Flow
Rinaldo M. Colombo.
Siam Journal on Applied Mathematics (2003)
An -populations model for traffic flow
Sylvie Benzoni-Gavage;Rinaldo M. Colombo.
European Journal of Applied Mathematics (2003)
A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
Rinaldo M. Colombo;Mauro Garavello;Magali Lécureux-Mercier.
Mathematical Models and Methods in Applied Sciences (2012)
The semigroup generated by 2 × 2 conservation laws
Alberto Bressan;Rinaldo M. Colombo.
Archive for Rational Mechanics and Analysis (1995)
A 2 × 2 hyperbolic traffic flow model
R. M. Colombo.
Mathematical and Computer Modelling (2002)
Control of the Continuity Equation with a Non Local Flow
Rinaldo M. Colombo;Michael Herty;Magali Mercier.
ESAIM: Control, Optimisation and Calculus of Variations (2011)
A well posed conservation law with a variable unilateral constraint
Rinaldo M. Colombo;Paola Goatin.
Journal of Differential Equations (2007)
Optimal Control in Networks of Pipes and Canals
R. M. Colombo;G. Guerra;M. Herty;V. Schleper.
Siam Journal on Control and Optimization (2009)
Nonlocal Crowd Dynamics Models for Several Populations
Rinaldo M. Colombo;Magali Lécureux-Mercier.
Acta Mathematica Scientia (2012)
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