Authors:
Rich notes on most recent advances on traffic flow on networks, including control and optimization.
Tutorials on conservation laws,,wave equations and optimal transport theory Diverse applications such as vehicular traffic, supply chains and others
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2062)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- 35R02, 35L65, 90B20
- Optimal transport
- Partial differential equations
- Traffic flow
- Vehicular traffic
Authors and Affiliations
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Department of Mathematics, Scuola Normale Superiore, Pisa, Italy
Luigi Ambrosio
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State College, Dept. Mathematics, Penn State University, University Park, USA
Alberto Bressan
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Chair of Sociology, in particular of Mod, CLU E 1, ETH Zurich, Swiss Federal Institute of T, Zurich, Switzerland
Dirk Helbing
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, Fachbereich Mathematik, Technische Universität Kaiserslautern, Kaiserslautern, Germany
Axel Klar
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, Depto. Matematicas, BCAM – Basque Center for Applied Mathema, Bilbao, Spain
Enrique Zuazua
Bibliographic Information
Book Title: Modelling and Optimisation of Flows on Networks
Book Subtitle: Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle
Authors: Luigi Ambrosio, Alberto Bressan, Dirk Helbing, Axel Klar, Enrique Zuazua
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-32160-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Softcover ISBN: 978-3-642-32159-7Published: 14 December 2012
eBook ISBN: 978-3-642-32160-3Published: 14 December 2012
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 497
Number of Illustrations: 109 b/w illustrations, 32 illustrations in colour
Topics: Differential Equations, Mathematical Modeling and Industrial Mathematics, Analysis