@article{1436638,
      recid = {1436638},
      author = {Shvydkoy, Roman,},
      title = {Dynamics and analysis of alignment models of collective  behavior /},
      publisher = {Birkhäuser,},
      address = {Cham :},
      pages = {1 online resource (xiv, 208 pages)},
      year = {2021},
      abstract = {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.},
      url = {http://library.usi.edu/record/1436638},
      doi = {https://doi.org/10.1007/978-3-030-68147-0},
}