Téléchargez le livre : Dynamics and Analysis of Alignment Models of Collective Behavior

Dynamics and Analysis of Alignment Models of Collective Behavior



de

Éditeur :

Birkhäuser


Paru le : 2021-05-13



eBook Téléchargement , DRM LCP 🛈 DRM Adobe 🛈
Lecture en ligne (streaming)
89,66 €
Téléchargement immédiat
Dès validation de votre commande
Ajouter à ma liste d'envies
Image Louise Reader présentation

Louise Reader

Lisez ce titre sur l'application Louise Reader.

badge apple Application Louise Reader
badge Android Application Louise Reader
Description

This book introduces a class of alignment models based on the so-called Cucker-Smale system as well as its kinetic and hydrodynamic counterparts. Cutting edge research in the area of collective behavior is presented, including emerging techniques from fluid mechanics, fractional analysis, and kinetic theory. Analytical aspects are highlighted throughout, such as regularity theory and long time behavior of solutions. Featuring open problems, readers will be motivated to apply these breakthrough methods to future research.
The chapters offer an overview of state of the art research with introductions to core concepts. Chapter One introduces the central focus of the book: The agent-based Cucker-Smale system. Further agent-based systems and alignment systems are covered in chapters Two and Three. Following this are chapters covering the kinetic and hydrodynamic variants of the Cucker-Smale system. The core well-posedness theory of both smooth and singular models is then presented. Chapter Eight discusses the fully developed one-dimensional theory. The final chapter presents some of the known partial results concerning the regularity of multidimensional Euler Alignment systems.
Dynamics and Analysis of Alignment Models of Collective Behavior is ideal for graduate students and researchers studying PDEs, especially those interested in the active areas of collective behavior and alignment models.
Pages
208 pages
Collection
n.c
Parution
2021-05-13
Marque
Birkhäuser
EAN papier
9783030681463
EAN PDF
9783030681470
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
20
Taille du fichier
2304 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
89,66 €
EAN EPUB
9783030681470
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
20
Taille du fichier
12493 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
89,66 €
Roman Shvydkoy is Professor of Mathematics at the University of Illinois at Chicago and a recipient of a 2018 Simons Fellowship in Mathematics.

Suggestions personnalisées