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PDE Models for Multi-Agent Phenomena: 28 (Springer INdAM Series)

PDE Models for Multi-Agent Phenomena: 28 (Springer INdAM Series)

by Alessio Porretta (Editor), Francesco Salvarani (Editor), Pierre Cardaliaguet (Editor)

  • New

    Hardcover 2019

    $117.13
Synopsis

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.

$117.13

Quantity

20+ in stock

More Information

Format: Hardcover
 Pages: 232
 Edition: 1st ed. 2018
 Publisher: Springer
Published: 07 Jan 2019
ISBN 10: 3030019462
ISBN 13: 9783030019464

Author Bio

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 Superieure 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.