书目名称 | Dynamics and Analysis of Alignment Models of Collective Behavior |
编辑 | Roman Shvydkoy |
视频video | |
概述 | Introduces a special class of alignment model called the Cucker-Smale system as well as its kinetic and hydrodynamic counterparts.Presents cutting-edge research in the area of collective behavior, inc |
丛书名称 | Nečas Center Series |
图书封面 |  |
描述 | .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...Dynam |
出版日期 | Book 2021 |
关键词 | Cucker-Smale System; Collective behavior models; Collective behavior flow; Alignment systems math; Kinet |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-68147-0 |
isbn_softcover | 978-3-030-68146-3 |
isbn_ebook | 978-3-030-68147-0Series ISSN 2523-3343 Series E-ISSN 2523-3351 |
issn_series | 2523-3343 |
copyright | Springer Nature Switzerland AG 2021 |