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.
Although natural phenomena can be described by a few simple and symmetric basic laws they exhibit an astounding variety of behaviours. This can be explained by a process known as symmetry breaking, which can cause an ordered state to form with topological defects. The dynamics of further evolution are determined to a large extent by the dynamics of such defects. This book covers the structure and dynamics of vortices in a variety of nonlinear field models with spontaneously broken symmetry. Point vortices or vortex lines can correspond, depending on the physical setting, to quantized vortices in superfluids or superconductors, dislocations in non- equilibrium patterns, rotating spiral waves, disclinations in liquid crystals, singularities in optical fields or strings in relativistic field theories. This book is unique in considering vortices in these different settings, but also emphasizes the analytical methods that allow an understanding of the common theoretical structure underlying defect dynamics.
Solitons In Field Theory And Nonlinear Analysis
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Author : Yisong Yang
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-15
Solitons In Field Theory And Nonlinear Analysis written by Yisong Yang 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 2001-06-15 with Mathematics categories.
There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.
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.
Variational Methods In Nonlinear Field Equations
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Author : Vieri Benci
language : en
Publisher: Springer
Release Date : 2014-10-24
Variational Methods In Nonlinear Field Equations written by Vieri Benci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-24 with Mathematics categories.
The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.
Anomalies In Quantum Field Theory
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Author : Reinhold A. Bertlmann
language : en
Publisher: Oxford University Press
Release Date : 2000-11-02
Anomalies In Quantum Field Theory written by Reinhold A. Bertlmann 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 2000-11-02 with Science categories.
This text presents the different aspects of the study of anomalies. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. It includes derivations and calculations
Fluid Physics Lecture Notes Of Summer Schools
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Author : Manuel G Velarde
language : en
Publisher: World Scientific
Release Date : 1995-03-07
Fluid Physics Lecture Notes Of Summer Schools written by Manuel G Velarde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-07 with categories.
This book pays tribute to 25 Singaporean South Asians who pioneered and excelled in their respective fields from 1950 to 2015. It is meant to be a 'quick take' on 25 Singaporean South Asian personalities, across a broad spectrum of professions and activities, who believed in the value and virtue of service to the community and gave the best of themselves.They had a sense of mission in their professions, dedicated to what they were doing and fostered a sense of community and nation. Many of them laid foundations that triggered the transformation of the island, including sportspeople whose records have stood the test of time. They were a people of their time whose work many may not know but which we hope will inspire others. This book is timely, for those who want to get a snapshot appreciation of the contributions of Singaporean South Asians.
Proceedings Of The Julian Schwinger Centennial Conference
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Author : Berthold-georg Englert
language : en
Publisher: World Scientific
Release Date : 2019-10-30
Proceedings Of The Julian Schwinger Centennial Conference written by Berthold-georg Englert and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-30 with Science categories.
The Julian Schwinger Centennial Conference of 2018 assembled many of Schwinger's students, colleagues, and friends to celebrate this towering figure of twentieth century physics one hundred years after his birth. This proceedings volume collects talks delivered on this occasion. They cover a wide range of topics, all related to Schwinger's rich scientific legacy — supplemented by personal recollections about Julian Schwinger, the physicist, the teacher, and the gentleman.Also included are an essay of 1985, co-authored by Schwinger but not published previously, as well as the transcripts of speeches by distinguished colleagues at the 1978 gathering when Schwinger's sixtieth birthday was celebrated.
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.
Singularities Formation Structure And Propagation
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Author : J. Eggers
language : en
Publisher: Cambridge University Press
Release Date : 2015-09-10
Singularities Formation Structure And Propagation written by J. Eggers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-10 with Mathematics categories.
This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.
Coherent X Ray Optics
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Author : David Paganin
language : en
Publisher: OUP Oxford
Release Date : 2006-01-12
Coherent X Ray Optics written by David Paganin and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-12 with Science categories.
This book gives a thorough treatment of the rapidly-expanding field of coherent x-ray optics, which has recently experienced something of a renaissance with the availability of third-generation synchrotron sources. It is the first book of its kind. The author begins with a treatment of the fundamentals of x-ray diffraction for both coherent and partially coherent radiation, together with the interactions of x-rays with matter. X-ray sources, optics elements and detectors are then discussed, with an emphasis on their role in coherent x-ray optics. Various facets of coherent x-ray imaging are then discussed, including holography, interferometry, self imaging, phase contrast and phase retrieval. Lastly, the foundations of the new field of singular x-ray optics are examined. Most topics are developed from first principles, with numerous references given to the contemporary research literature. This book will be useful to x-ray physicists and students, together with optical physicists and engineers who wish to learn more about the fascinating subject of coherent x-ray optics.