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Physics - Complexity | Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications - Classical

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

Classical and Non–Classical Advanced Mathematics for Real Life Applications

Rosini, Massimiliano Daniele

2013, XII, 226 p. 104 illus.

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  • 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

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.

 

Content Level » Graduate

Keywords » Air Shower - Atmospheric Muons and Neutrinos - Cosmic Accelerators - Cosmic Rays - Diffusive Shock Mechanism - Gamma Astrophysics - Neutrino Astronomy - Neutrino Astrophysics - Particle Astrophysics - Particle Shower - Solar Neutrinos

Related subjects » Complexity - Statistical Physics & Dynamical Systems

Table of contents 

Part I Mathematical Theory.- Part II Models for Vehicular Traffic.- Part III Models for Pedestrian Traffic.

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