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Author: Roman Shvydkoy Publisher: Springer Nature ISBN: 3030681475 Category : Mathematics Languages : en Pages : 208
Book 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.
Author: Anne Albert-Cromarias Publisher: John Wiley & Sons ISBN: 1786309300 Category : Business & Economics Languages : en Pages : 244
Book Description
Faced with global economic, social and environmental challenges requiring us to go beyond individual actions, the development of collective dynamics is the ideal response. From this perspective, territories, which have long been neglected, are now asserting themselves as breeding grounds for innovative and relevant forms of organized action in response to shared experiences. Bringing together more than twenty researchers in strategic management, human resources management and marketing, Collective Dynamics and Territories offers, through nine territorial issues (innovating and regenerating territories, building environmental action, attracting and retaining talent, etc.), insights into the conditions and modalities for developing collective dynamics within territories. The success of local collective dynamics depends on support for the actors involved, from situation analysis to problem definition, including idea generation, selection, implementation and evaluation. This book offers a comprehensive, systemic and operational vision for analyzing and acting on collective territorial dynamics.
Author: Roman Shvydkoy Publisher: Springer Nature ISBN: 3030681475 Category : Mathematics Languages : en Pages : 208
Book 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.
Author: Frank Schweitzer Publisher: Springer Science & Business Media ISBN: 3540738444 Category : Business & Economics Languages : en Pages : 427
Book Description
This book lays out a vision for a coherent framework for understanding complex systems. By developing the genuine idea of Brownian agents, the author combines concepts from informatics, such as multiagent systems, with approaches of statistical many-particle physics. It demonstrates that Brownian agent models can be successfully applied in many different contexts, ranging from physicochemical pattern formation to swarming in biological systems.
Author: Carver A. Mead Publisher: MIT Press ISBN: 9780262632607 Category : Science Languages : en Pages : 162
Book Description
In this book Carver Mead offers a radically new approach to the standard problems of electromagnetic theory. Motivated by the belief that the goal of scientific research should be the simplification and unification of knowledge, he describes a new way of doing electrodynamics—collective electrodynamics—that does not rely on Maxwell's equations, but rather uses the quantum nature of matter as its sole basis. Collective electrodynamics is a way of looking at how electrons interact, based on experiments that tell us about the electrons directly. (As Mead points out, Maxwell had no access to these experiments.) The results Mead derives for standard electromagnetic problems are identical to those found in any text. Collective electrodynamics reveals, however, that quantities that we usually think of as being very different are, in fact, the same—that electromagnetic phenomena are simple and direct manifestations of quantum phenomena. Mead views his approach as a first step toward reformulating quantum concepts in a clear and comprehensible manner. The book is divided into five sections: magnetic interaction of steady currents, propagating waves, electromagnetic energy, radiation in free space, and electromagnetic interaction of atoms. In an engaging preface, Mead tells how his approach to electromagnetic theory was inspired by his interaction with Richard Feynman.
Author: Cristian Marchioli Publisher: Springer ISBN: 3319512269 Category : Technology & Engineering Languages : en Pages : 134
Book Description
The book surveys the state-of-the-art methods that are currently available to model and simulate the presence of rigid particles in a fluid flow. For particles that are very small relative to the characteristic flow scales and move without interaction with other particles, effective equations of motion for particle tracking are formulated and applied (e.g. in gas-solid flows). For larger particles, for particles in liquid-solid flows and for particles that interact with each other or possibly modify the overall flow detailed model are presented. Special attention is given to the description of the approximate force coupling method (FCM) as a more general treatment for small particles, and derivations in the context of low Reynolds numbers for the particle motion as well as application at finite Reynolds numbers are provided. Other topics discussed in the book are the relation to higher resolution immersed boundary methods, possible extensions to non-spherical particles and examples of applications of such methods to dispersed multiphase flows.
Author: Victor Christianto, Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 235
Book Description
Victor Christianto’s Thesis that combine Psychosyntesis, Socio economics and Cosmology is a tough but interesting subjects, but I believe he is able to do it well. Victor and I often discuss such tough subjects and he shows abilities to suggest new way of thinking to solve the problems.
Author: Günter Radons Publisher: Springer Science & Business Media ISBN: 3540268693 Category : Science Languages : en Pages : 377
Book Description
Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.
Author: Sirakov Boyan Publisher: World Scientific ISBN: 9813272899 Category : Mathematics Languages : en Pages : 5396
Book Description
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author: Roman Shvydkoy
Author: Anne Albert-Cromarias
Author: 
Author: Roman Shvydkoy
Author: Frank Schweitzer
Author: Carver A. Mead
Author: Kurt Lang
Author: Cristian Marchioli
Author: Victor Christianto, Florentin Smarandache
Author: Günter Radons
Author: Sirakov Boyan