Overview
- Presents very complete and up-to-date review articles
- Includes detailed information on the state-of-the-art in the field
- Discusses a variety of mathematical tools
Part of the book series: Springer INdAM Series (SINDAMS, volume 28)
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About this book
This volume covers selected topics addressed and discussed during the workshop “PDE models for multi-agent phenomena,” which was held in Rome, Italy, from November 28th to December 2nd, 2016. The content mainly focuses on kinetic equations and mean field games, which provide a solid framework for the description of multi-agent phenomena. The book includes original contributions on the theoretical and numerical study of the MFG system: the uniqueness issue and finite difference methods for the MFG system, MFG with state constraints, and application of MFG to market competition. The book also presents new contributions on the analysis and numerical approximation of the Fokker-Planck-Kolmogorov equations, the isotropic Landau model, the dynamical approach to the quantization problem and the asymptotic methods for fully nonlinear elliptic equations. Chiefly intended for researchers interested in the mathematical modeling of collective phenomena, the book provides an essential overview of recent advances in the field and outlines future research directions.
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Keywords
Table of contents (9 chapters)
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Front Matter
Editors and Affiliations
About the editors
Pierre Cardaliaguet completed his PhD at the U. Paris Dauphine in 1994. He has been a Professor at Brest U. from 2000 to 2010 and is currently Professor at the U. Paris Dauphine.
Alessio Porretta received his PhD from the University of Rome La Sapienza in 2000, and is currently a full Professor of Mathematical Analysis at the University of Rome Tor Vergata. His research activities are mainly focused on convection-diffusion and Hamilton-Jacobi equations, control theory and mean field games.
Francesco Salvarani (PhD in Mathematics, University of Genoa, Italy, and Ecole Normale Supérieure de Cachan, France) is an expert in the mathematical and numerical study of collective phenomena arising both in physics and the social sciences. His scientific activities are mainly focused on kinetic equations and systems.
Bibliographic Information
Book Title: PDE Models for Multi-Agent Phenomena
Editors: Pierre Cardaliaguet, Alessio Porretta, Francesco Salvarani
Series Title: Springer INdAM Series
DOI: https://doi.org/10.1007/978-3-030-01947-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-01946-4Published: 07 January 2019
eBook ISBN: 978-3-030-01947-1Published: 22 December 2018
Series ISSN: 2281-518X
Series E-ISSN: 2281-5198
Edition Number: 1
Number of Pages: XI, 218
Number of Illustrations: 3 b/w illustrations, 21 illustrations in colour
Topics: Partial Differential Equations, Computational Social Sciences, Mathematical Modeling and Industrial Mathematics