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.


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.


Systems of Conservation Laws

Systems of Conservation Laws

Author: Yuxi Zheng

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 324

ISBN-13: 1461201411

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This work should serve as an introductory text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. The only requisite for the reader is a knowledge of the elementary theory of partial differential equations. Key features of this work include: * broad range of topics, from the classical treatment to recent results, dealing with solutions to 2D compressible Euler equations * good review of basic concepts (1-D Riemann problems) * concrete solutions presented, with many examples, over 100 illustrations, open problems, and numerical schemes * numerous exercises, comprehensive bibliography and index * appeal to a wide audience of applied mathematicians, graduate students, physicists, and engineers Written in a clear, accessible style, the book emphasizes more recent results that will prepare readers to meet modern challenges in the subject, that is, to carry out theoretical, numerical, and asymptotical analysis.


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.


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.


Bénard Cells and Taylor Vortices

Bénard Cells and Taylor Vortices

Author: E. L. Koschmieder

Publisher: Cambridge University Press

Published: 1993-02-26

Total Pages: 356

ISBN-13: 9780521402040

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This book describes the motions resulting from heating a fluid layer from below.


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.