03380nam 2200541 450 99646641430331620230421111730.03-030-68147-510.1007/978-3-030-68147-0(CKB)4100000011934735(DE-He213)978-3-030-68147-0(MiAaPQ)EBC6621463(Au-PeEL)EBL6621463(OCoLC)1256237371(PPN)255885385(EXLCZ)99410000001193473520220122d2021 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierDynamics and analysis of alignment models of collective behavior /Roman Shvydkoy1st ed. 2021.Cham, Switzerland :Birkhäuser,[2021]©20211 online resource (XIV, 208 p. 16 illus., 2 illus. in color.)Nečas Center Series,2523-33433-030-68146-7 Emergent phenomena and overview of existing models -- Agent-based alignment systems -- Forced systems -- Kinetic models -- Macroscopic description. Hydrodynamic limit -- Euler Alignment System -- Local well-posedness and continuation criteria -- One-dimensional theory -- Global solutions to multi-dimensional systems.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.Nečas Center Series,2523-3343Mathematical modelsModels matemàticsthubEquacions en derivades parcialsthubLlibres electrònicsthubMathematical models.Models matemàticsEquacions en derivades parcials511.8Shvydkoy Roman852938MiAaPQMiAaPQMiAaPQBOOK996466414303316Dynamics and Analysis of Alignment Models of Collective Behavior1904773UNISA01410nas 2200457- 450 99632108160331620220125084410.02345-5535(OCoLC)890514590(CKB)3710000000228658(CONSER)--2015238587(DE-599)ZDB2768294-8(EXLCZ)99371000000022865820140910a20149999 --- -engurmnu||||||||txtrdacontentcrdamediacrrdacarrierIranian journal of health, safety & environment[Tehran] :Iranian journal of health, safety and environment1 online resourceRefereed/Peer-reviewed2345-3206 Iranian journal of health, safety and environmentIJHSEIran. j. health saf. environ.Environmental healthPeriodicalsEnvironmental HealthEnvironmental healthfast(OCoLC)fst00912999PeriodicalPeriodicals.fastPeriodicals.lcgftEnvironmental HealthEnvironmental healthEnvironmental HealthEnvironmental health.JOURNAL996321081603316Iranian journal of health, safety & environment1914520UNISA