© 2013

Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications

Classical and Non–Classical Advanced Mathematics for Real Life Applications

  • Presents macroscopic models for vehicular and pedestrian dynamics

  • The described models are simple enough to permit a complete understanding, but rich enough to describe important phenomena typical of urban traffic

  • Introduces to more specialized investigations, such as traffic on networks, supply chains, telecommunications, blood flow, phase transitions, fluid dynamics


Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Part III-Models for Pedestrian Traffic

    1. Massimiliano Daniele Rosini
      Pages 227-237
  2. Back Matter
    Pages 239-242

About this book


This monograph  presents a systematic treatment of the theory for hyperbolic conservation laws and their applications to vehicular traffics and crowd dynamics. In the first part of the book, the author presents very basic considerations and gradually introduces the mathematical tools necessary to describe and understand the mathematical models developed in the following parts focusing on vehicular and pedestrian traffic. The book is a self-contained valuable resource for advanced courses in mathematical modeling, physics and civil engineering. A number of examples and figures facilitate a better understanding of the underlying concepts and motivations for the students. Important new techniques are presented, in particular the wave front tracking algorithm, the operator splitting approach, the non-classical theory of conservation laws and the constrained problems. This book is the first to present a comprehensive account of these fundamental new mathematical advances.



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Authors and affiliations

  1. 1., ICMUniversity of WarsawWarsawPoland

Bibliographic information

  • Book Title Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications
  • Book Subtitle Classical and Non–Classical Advanced Mathematics for Real Life Applications
  • Authors Massimiliano Daniele Rosini
  • Series Title Understanding Complex Systems
  • Series Abbreviated Title Understanding Complex Systems
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2013
  • Publisher Name Springer, Heidelberg
  • eBook Packages Physics and Astronomy Physics and Astronomy (R0)
  • Hardcover ISBN 978-3-319-00154-8
  • Softcover ISBN 978-3-319-03348-8
  • eBook ISBN 978-3-319-00155-5
  • Series ISSN 1860-0832
  • Series E-ISSN 1860-0840
  • Edition Number 1
  • Number of Pages XII, 242
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Complexity
    Applications of Nonlinear Dynamics and Chaos Theory
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