Modelling and Optimisation of Flows on Networks Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle /

• Main Authors: Ambrosio, Luigi. (Author), Bressan, Alberto. (Author), Helbing, Dirk. (Author), Klar, Axel. (Author), Zuazua, Enrique. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2062
• Subjects: Mathematics.; Global analysis (Mathematics).; Differential equations, partial.; Partial Differential Equations.; Mathematical Modeling and Industrial Mathematics.; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-32160-3

In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flo...

Table of Contents:

• A Users Guide to Optimal Transport
• Hyperbolic Conservation Laws: an Illustrated Tutorial
• Derivation of Non-Local Macroscopic Traffic Equations and Consistent Traffic Pressures from Microscopic Car-Following Models
• On the Controversy around Daganzos Requiem for and Aw-Rascles Resurrection of Second-Order Traffic Flow Models
• Theoretical vs. Empirical Classification and Prediction of Congested Traffic States
• Self-Organized Network Flows
• Operation Regimes and Slower-is-Faster-Effect in the Control of Traffic Intersections
• Modeling and Optimization of Scalar Flows on Networks
• The Wave Equation: Control and Numerics.