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001436638 001__ 1436638
001436638 003__ OCoLC
001436638 005__ 20230309004105.0
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001436638 019__ $$a1252420037$$a1253567935$$a1255233560$$a1255238311
001436638 020__ $$a9783030681470$$q(electronic bk.)
001436638 020__ $$a3030681475$$q(electronic bk.)
001436638 020__ $$z3030681467$$q(print)
001436638 020__ $$z9783030681463$$q(print)
001436638 0247_ $$a10.1007/978-3-030-68147-0$$2doi
001436638 035__ $$aSP(OCoLC)1251506551
001436638 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dLIP$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ
001436638 049__ $$aISEA
001436638 050_4 $$aQA401
001436638 08204 $$a511/.8$$223
001436638 1001_ $$aShvydkoy, Roman,$$eauthor.
001436638 24510 $$aDynamics and analysis of alignment models of collective behavior /$$cRoman Shvydkoy.
001436638 260__ $$aCham :$$bBirkhäuser,$$c2021.
001436638 300__ $$a1 online resource (xiv, 208 pages)
001436638 336__ $$atext$$btxt$$2rdacontent
001436638 337__ $$acomputer$$bc$$2rdamedia
001436638 338__ $$aonline resource$$bcr$$2rdacarrier
001436638 347__ $$atext file
001436638 347__ $$bPDF
001436638 4901_ $$aNěcas Center Series,$$x2523-3343
001436638 504__ $$aIncludes bibliographical references and index.
001436638 5050_ $$aEmergent phenomena and overview of existing models -- Agent-based alignment systems -- Forced systems -- Kinetic models -- Macroscopic description. Hydrodynamic limit -- Euler Alignment System -- Local well-posedness and continuation criteria -- One-dimensional theory -- Global solutions to multi-dimensional systems.
001436638 506__ $$aAccess limited to authorized users.
001436638 520__ $$aThis book introduces a class of alignment models based on the so-called Cucker-Smale system as well as its kinetic and hydrodynamic counterparts. Cutting edge research in the area of collective behavior is presented, including emerging techniques from fluid mechanics, fractional analysis, and kinetic theory. Analytical aspects are highlighted throughout, such as regularity theory and long time behavior of solutions. Featuring open problems, readers will be motivated to apply these breakthrough methods to future research. The chapters offer an overview of state of the art research with introductions to core concepts. Chapter One introduces the central focus of the book: The agent-based Cucker-Smale system. Further agent-based systems and alignment systems are covered in chapters Two and Three. Following this are chapters covering the kinetic and hydrodynamic variants of the Cucker-Smale system. The core well-posedness theory of both smooth and singular models is then presented. Chapter Eight discusses the fully developed one-dimensional theory. The final chapter presents some of the known partial results concerning the regularity of multidimensional Euler Alignment systems. Dynamics and Analysis of Alignment Models of Collective Behavior is ideal for graduate students and researchers studying PDEs, especially those interested in the active areas of collective behavior and alignment models.
001436638 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 25, 2021).
001436638 650_0 $$aMathematical models.
001436638 650_0 $$aDifferential equations, Partial.
001436638 650_6 $$aModèles mathématiques.
001436638 650_6 $$aÉquations aux dérivées partielles.
001436638 655_0 $$aElectronic books.
001436638 77608 $$iPrint version: $$z3030681467$$z9783030681463$$w(OCoLC)1227381187
001436638 830_0 $$aNečas Center Series,$$x2523-3343
001436638 852__ $$bebk
001436638 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-68147-0$$zOnline Access$$91397441.1
001436638 909CO $$ooai:library.usi.edu:1436638$$pGLOBAL_SET
001436638 980__ $$aBIB
001436638 980__ $$aEBOOK
001436638 982__ $$aEbook
001436638 983__ $$aOnline
001436638 994__ $$a92$$bISE