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...

This book offers a systematic treatment of the theory for hyperbolic conservation laws and their applications to vehicular traffic and crowd dynamics. Presents important new techniques, including the wave front tracking algorithm and many examples and figures.