Linear and Nonlinear Aspects of Vortices
Linear and Nonlinear Aspects of Vortices

Author: Frank Pacard

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 342

ISBN-13: 146121386X

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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.

Vortices in the Magnetic Ginzburg-Landau Model
Vortices in the Magnetic Ginzburg-Landau Model

Author: Etienne Sandier

Publisher: Birkhäuser

Published: 2008-11-01

Total Pages: 322

ISBN-13: 9780817671518

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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.

Ginzburg-Landau Vortices
Ginzburg-Landau Vortices

Author: Fabrice Bethuel

Publisher: Birkhäuser

Published: 1994-03-28

Total Pages: 162

ISBN-13: 0817637230

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The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2 ; x~ + x~ = Ixl

Nonlinear Waves: Classical and Quantum Aspects
Nonlinear Waves: Classical and Quantum Aspects

Author: Fatkhulla Abdullaev

Publisher: Springer Science & Business Media

Published: 2006-03-02

Total Pages: 563

ISBN-13: 1402021909

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Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.

Vortices in Nonlinear Fields
Vortices in Nonlinear Fields

Author: Len M. Pismen

Publisher: Oxford University Press

Published: 1999

Total Pages: 308

ISBN-13: 9780198501671

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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.

Geometric Analysis and PDEs
Geometric Analysis and PDEs

Author: Matthew J. Gursky

Publisher: Springer Science & Business Media

Published: 2009-06-26

Total Pages: 296

ISBN-13: 3642016731

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This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.

Selfdual Gauge Field Vortices
Selfdual Gauge Field Vortices

Author: Gabriella Tarantello

Publisher: Springer Science & Business Media

Published: 2008-04-16

Total Pages: 335

ISBN-13: 0817646086

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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.

High Angle of Attack Aerodynamics
High Angle of Attack Aerodynamics

Author: Josef Rom

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 408

ISBN-13: 1461228247

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The aerodynamics of aircraft at high angles of attack is a subject which is being pursued diligently, because the modern agile fighter aircraft and many of the current generation of missiles must perform well at very high incidence, near and beyond stall. However, a comprehensive presentation of the methods and results applicable to the studies of the complex aerodynamics at high angle of attack has not been covered in monographs or textbooks. This book is not the usual textbook in that it goes beyond just presenting the basic theoretical and experimental know-how, since it contains reference material to practical calculation methods and technical and experimental results which can be useful to the practicing aerospace engineers and scientists. It can certainly be used as a text and reference book for graduate courses on subjects related to high angles of attack aerodynamics and for topics related to three-dimensional separation in viscous flow courses. In addition, the book is addressed to the aerodynamicist interested in a comprehensive reference to methods of analysis and computations of high angle of attack flow phenomena and is written for the aerospace scientist and engineer who is familiar with the basic concepts of viscous and inviscid flows and with computational methods used in fluid dynamics.