Modelling and Optimisation of Flows on Networks [electronic resource] : Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle / by Luigi Ambrosio, Alberto Bressan, Dirk Helbing, Axel Klar, Enrique Zuazua.

Ambrosio, Luigi, author., Author,
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
1 online resource (XIV, 497 pages 141 illustrations, 32 illustrations in color)
Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries 2062
C.I.M.E. Foundation Subseries ; 2062
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Differential equations, partial.
Global analysis (Mathematics).
Local subjects:
Partial Differential Equations. (search)
Mathematical Modeling and Industrial Mathematics. (search)
Analysis. (search)
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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 flow, irrigation channels, data networks and others. This book presents an extensive set of notes by world leaders on the main mathematical techniques used to address such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, the modeling is completed by analysis, numerics, control and optimization of flows in networks. The book will be a valuable resource for every researcher or student interested in the subject.
A User's 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 Daganzo's Requiem for and Aw-Rascle's 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.
Bressan, Alberto. author., Author,
Helbing, Dirk. author., Author,
Klar, Axel. author., Author,
Zuazua, E. (Enrique), author., Author,
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10.1007/978-3-642-32160-3 doi
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