Aylaj, Bouchra.
Crowd Dynamics by Kinetic Theory Modeling Complexity, Modeling, Simulations, and Safety / [electronic resource] : by Bouchra Aylaj, Nicola Bellomo, Livio Gibelli, Damián Knopoff. - 1st ed. 2021. - XII, 86 p. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .
Preface -- Complexity of Human Crowds and Modeling Strategy -- Scaling and Mathematical Structures -- From Classical Kinetic Theory to Active Particle Models -- Kinetic Theory Models and Applications -- Kinetic Theory Models Toward Research Perspectives -- Authors' Biographies.
The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.
9783031024283
10.1007/978-3-031-02428-3 doi
Mathematics.
Statistics .
Engineering mathematics.
Mathematics.
Statistics.
Engineering Mathematics.
QA1-939
510
Crowd Dynamics by Kinetic Theory Modeling Complexity, Modeling, Simulations, and Safety / [electronic resource] : by Bouchra Aylaj, Nicola Bellomo, Livio Gibelli, Damián Knopoff. - 1st ed. 2021. - XII, 86 p. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .
Preface -- Complexity of Human Crowds and Modeling Strategy -- Scaling and Mathematical Structures -- From Classical Kinetic Theory to Active Particle Models -- Kinetic Theory Models and Applications -- Kinetic Theory Models Toward Research Perspectives -- Authors' Biographies.
The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.
9783031024283
10.1007/978-3-031-02428-3 doi
Mathematics.
Statistics .
Engineering mathematics.
Mathematics.
Statistics.
Engineering Mathematics.
QA1-939
510