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- Rinaldo M. Colombo

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
4,123
167
World Ranking
2425
National Ranking
79

- Mathematical analysis
- Topology
- Geometry

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.

- Haemodilution in acute stroke: Results of the Italian haemodilution trial (211 citations)
- Pedestrian flows and non-classical shocks (179 citations)
- Hyperbolic Phase Transitions in Traffic Flow (148 citations)

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.

- Conservation law (45.27%)
- Mathematical analysis (30.35%)
- Applied mathematics (26.87%)

- Applied mathematics (26.87%)
- Conservation law (45.27%)
- Well posedness (18.91%)

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.

- Nonlocal Conservation Laws in Bounded Domains (12 citations)
- Biological and industrial models motivating nonlocal conservation laws: A review of analytic and numerical results (9 citations)
- The Compressible to Incompressible Limit of One Dimensional Euler Equations: The Non Smooth Case (9 citations)

- Mathematical analysis
- Topology
- Geometry

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Pedestrian flows and non-classical shocks

Rinaldo Mario Colombo;Massimiliano Daniele Rosini.

Mathematical Methods in The Applied Sciences **(2005)**

258 Citations

Hyperbolic Phase Transitions in Traffic Flow

Rinaldo M. Colombo.

Siam Journal on Applied Mathematics **(2003)**

234 Citations

An -populations model for traffic flow

Sylvie Benzoni-Gavage;Rinaldo M. Colombo.

European Journal of Applied Mathematics **(2003)**

232 Citations

A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC

Rinaldo M. Colombo;Mauro Garavello;Magali Lécureux-Mercier.

Mathematical Models and Methods in Applied Sciences **(2012)**

187 Citations

The semigroup generated by 2 × 2 conservation laws

Alberto Bressan;Rinaldo M. Colombo.

Archive for Rational Mechanics and Analysis **(1995)**

184 Citations

A 2 × 2 hyperbolic traffic flow model

R. M. Colombo.

Mathematical and Computer Modelling **(2002)**

135 Citations

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)**

121 Citations

A well posed conservation law with a variable unilateral constraint

Rinaldo M. Colombo;Paola Goatin.

Journal of Differential Equations **(2007)**

111 Citations

Optimal Control in Networks of Pipes and Canals

R. M. Colombo;G. Guerra;M. Herty;V. Schleper.

Siam Journal on Control and Optimization **(2009)**

107 Citations

Nonlocal Crowd Dynamics Models for Several Populations

Rinaldo M. Colombo;Magali Lécureux-Mercier.

Acta Mathematica Scientia **(2012)**

107 Citations

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