Vortices In Nonlinear Fields
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Vortices In Nonlinear Fields
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Author : Len M. Pismen
language : en
Publisher: Oxford University Press
Release Date : 1999
Vortices In Nonlinear Fields written by Len M. Pismen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Symmetry breaking is partially responsible for the astounding variety of natural phenomena derived from a few simple and symmetric basic laws. Unique in its multidisciplinary scope, this book considers from a unified point of view the structure and dynamics of vortices in a variety of nonlinear field models with spontaneously broken symmetry. The theory has wide applications, including superfluids, superconductors, rotating spiral waves, and relativistic string theories. This volume is an integrated survey of this rapidly developing field.
Variational Methods In Nonlinear Field Equations
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Author : Vieri Benci
language : en
Publisher:
Release Date : 2014-11-30
Variational Methods In Nonlinear Field Equations written by Vieri Benci and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-30 with categories.
Linear And Nonlinear Aspects Of Vortices
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Author : Frank Pacard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Linear And Nonlinear Aspects Of Vortices written by Frank Pacard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Aimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful for the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and serves as an excellent classroom text or a valuable self-study resource.
Selfdual Gauge Field Vortices
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Author : Gabriella Tarantello
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-16
Selfdual Gauge Field Vortices written by Gabriella Tarantello and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-16 with Science categories.
This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices.
Vortices In The Magnetic Ginzburg Landau Model
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Author : Etienne Sandier
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-14
Vortices In The Magnetic Ginzburg Landau Model written by Etienne Sandier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-14 with Mathematics categories.
This book presents the mathematical study of vortices of the two-dimensional Ginzburg-Landau model, an important phenomenological model used to describe superconductivity. The vortices, identified as quantized amounts of vorticity of the superconducting current localized near points, are the objects of many observational and experimental studies, both past and present. The Ginzburg-Landau functionals considered include both the model cases with and without a magnetic field. The book acts a guide to the various branches of Ginzburg-Landau studies, provides context for the study of vortices, and presents a list of open problems in the field.
Coherent Vortex Structures In Fluids And Plasmas
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Author : Anatoli Tur
language : en
Publisher: Springer
Release Date : 2017-04-09
Coherent Vortex Structures In Fluids And Plasmas written by Anatoli Tur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-09 with Science categories.
This monograph introduces readers to the hydrodynamics of vortex formation, and reviews the last decade of active research in the field, offering a unique focus on research topics at the crossroads of traditional fluids and plasmas. Vortices are responsible for the process of macroscopic transport of momentum, energy and mass, and are formed as the result of spontaneous self-organization. Playing an important role in nature and technology, localized, coherent vortices are regularly observed in shear flows, submerged jets, afterbody flows and in atmospheric boundary layers, sometimes taking on the form of vortex streets. In addition, the book addresses a number of open issues, including but not limited to: which singularities are permitted in a 2D Euler equation besides point vortices? Which other, even more complex, localized vortices could be contained in the Euler equation? How do point vortices interact with potential waves?
Ginzburg Landau Vortices
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Author : Haim Brzis
language : en
Publisher: World Scientific
Release Date : 2005
Ginzburg Landau Vortices written by Haim Brzis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The Ginzburg-Landau equation us a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear. The remarkable progress in the mathematical understanding of this equation involves a combined use of mathematical tools from many branches of mathematics. The Ginzburg-Landau model has been an amazing source of new problems and new ideas in analysis, geometry and topology. This collection will meet the urgent needs of the specialists, scholars and graduate students working in this area or related areas.
Theory Of Concentrated Vortices
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Author : S. V. Alekseenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-29
Theory Of Concentrated Vortices written by S. V. Alekseenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-29 with Technology & Engineering categories.
This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation.
Emergent Nonlinear Phenomena In Bose Einstein Condensates
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Author : Panayotis G. Kevrekidis
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-29
Emergent Nonlinear Phenomena In Bose Einstein Condensates written by Panayotis G. Kevrekidis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-29 with Science categories.
This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.
Physics And Materials Science Of Vortex States Flux Pinning And Dynamics
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Author : R. Kossowsky
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-04-30
Physics And Materials Science Of Vortex States Flux Pinning And Dynamics written by R. Kossowsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-30 with Science categories.
A discussion by an assembly of expert physicists and materials scientists, embracing the specific features of vortex-pin interactions, the modes of different kinds of vortex motion under the action of Lorenz force, and the mechanisms of dissipation. The effects of transport and screening currents, superimposed AC magnetic fields and the microwave electromagnetic irradiation on vortex behaviour define the electromagnetic properties of a high-Tc superconducting material. The mechanisms driving the depinning of vortices and the dynamics of their motion determine the critical current density and its file dependence, the mechanisms of energy dissipation, and linear and nonlinear resistivity, AC losses, and noise in electronic circuitry. The book therefore has direct implications for the development of new devices and components in electrical engineering, modern electronics, computer technology, and microwave communication.