ENGLISH

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

By Luigi Ambrosio , Alberto Bressan , Michel Rascle , Enrique Zuazua , Benedetto Piccoli , Dirk Helbing , Axel Klar

Book information

Publisher
Springer
Year
2009
ISBN
3642321593, 978-3-642-32159-7, 978-3-642-32160-3, 3642321607
DOI
10.1007/978-3-642-32160-3
Language
english
Format
PDF
Filesize
5 MB (5439880 bytes)
Series
Lecture notes in mathematics (Springer-Verlag) 2062
Edition
2013
Pages
497\506
Library
kolxoz
Time added
2016-05-22 07:20:00
Partial Differential Equations; Mathematical Model

Description

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

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