ENGLISH

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

By Luigi Ambrosio , Alberto Bressan , Dirk Helbing , Axel Klar , Enrique Zuazua (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2013
ISBN
978-3-642-32159-7, 978-3-642-32160-3
DOI
10.1007/978-3-642-32160-3
Language
english
Format
PDF
Filesize
6 MB (6702350 bytes)
Series
Lecture Notes in Mathematics 2062
Edition
1
Pages
497\506
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
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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