Nonlinear Waves And Weak Turbulence
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Nonlinear Waves And Weak Turbulence
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Author : Vladimir Evgenʹevich Zakharov
language : en
Publisher:
Release Date : 1998
Nonlinear Waves And Weak Turbulence written by Vladimir Evgenʹevich Zakharov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Hamiltonian systems categories.
Translations of articles on mathematics appearing in various Russian mathematical serials.
Nonlinear Waves And Weak Turbulence
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Author : Vladimir Evgenʹevich Zakharov
language : en
Publisher:
Release Date : 1998
Nonlinear Waves And Weak Turbulence written by Vladimir Evgenʹevich Zakharov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Electronic books categories.
This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincaré normal forms, and the inverse scattering method.
Nonlinear Waves And Weak Turbulence
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Author : FITZMAURICE
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Waves And Weak Turbulence written by FITZMAURICE 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 Technology & Engineering categories.
This book is an outgrowth of the NSF-CBMS conference Nonlinear Waves £3 Weak Turbulence held at Case Western Reserve University in May 1992. The principal speaker at the conference was Professor V. E. Zakharov who delivered a series of ten lectures outlining the historical and ongoing developments in the field. Some twenty other researchers also made presentations and it is their work which makes up the bulk of this text. Professor Zakharov's opening chapter serves as a general introduction to the other papers, which for the most part are concerned with the application of the theory in various fields. While the word "turbulence" is most often associated with f:l. uid dynamics it is in fact a dominant feature of most systems having a large or infinite number of degrees of freedom. For our purposes we might define turbulence as the chaotic behavior of systems having a large number of degrees of freedom and which are far from thermodynamic equilibrium. Work in field can be broadly divided into two areas: • The theory of the transition from smooth laminar motions to the disordered motions characteristic of turbulence. • Statistical studies of fully developed turbulent systems. In hydrodynamics, work on the transition question dates back to the end of the last century with pioneering contributions by Osborne Reynolds and Lord Rayleigh.
Nonlinear Waves And Weak Turbulence
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Author : FITZMAURICE
language : en
Publisher: Birkhäuser
Release Date : 2012-10-06
Nonlinear Waves And Weak Turbulence written by FITZMAURICE and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-06 with Science categories.
This book is an outgrowth of the NSF-CBMS conference Nonlinear Waves £3 Weak Turbulence held at Case Western Reserve University in May 1992. The principal speaker at the conference was Professor V. E. Zakharov who delivered a series of ten lectures outlining the historical and ongoing developments in the field. Some twenty other researchers also made presentations and it is their work which makes up the bulk of this text. Professor Zakharov's opening chapter serves as a general introduction to the other papers, which for the most part are concerned with the application of the theory in various fields. While the word "turbulence" is most often associated with f:l. uid dynamics it is in fact a dominant feature of most systems having a large or infinite number of degrees of freedom. For our purposes we might define turbulence as the chaotic behavior of systems having a large number of degrees of freedom and which are far from thermodynamic equilibrium. Work in field can be broadly divided into two areas: • The theory of the transition from smooth laminar motions to the disordered motions characteristic of turbulence. • Statistical studies of fully developed turbulent systems. In hydrodynamics, work on the transition question dates back to the end of the last century with pioneering contributions by Osborne Reynolds and Lord Rayleigh.
Wave Turbulence
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Author : Sergey Nazarenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-12
Wave Turbulence written by Sergey Nazarenko 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 2011-02-12 with Science categories.
Wave Turbulence refers to the statistical theory of weakly nonlinear dispersive waves. There is a wide and growing spectrum of physical applications, ranging from sea waves, to plasma waves, to superfluid turbulence, to nonlinear optics and Bose-Einstein condensates. Beyond the fundamentals the book thus also covers new developments such as the interaction of random waves with coherent structures (vortices, solitons, wave breaks), inverse cascades leading to condensation and the transitions between weak and strong turbulence, turbulence intermittency as well as finite system size effects, such as “frozen” turbulence, discrete wave resonances and avalanche-type energy cascades. This book is an outgrow of several lectures courses held by the author and, as a result, written and structured rather as a graduate text than a monograph, with many exercises and solutions offered along the way. The present compact description primarily addresses students and non-specialist researchers wishing to enter and work in this field.
Nonlinear Waves And Weak Turbulence With Applications In Oceanography And Condensed Matter Physics
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Author : N. Fitzmaurice
language : en
Publisher:
Release Date : 1993-01-01
Nonlinear Waves And Weak Turbulence With Applications In Oceanography And Condensed Matter Physics written by N. Fitzmaurice and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Cristal liquide categories.
Advances In Wave Interaction And Turbulence
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Author : Paul A. Milewski
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Advances In Wave Interaction And Turbulence written by Paul A. Milewski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
We often think of our natural environment as being composed of very many interacting particles, undergoing individual chaotic motions, of which only very coarse averages are perceptible at scales natural to us. However, we could as well think of the world as being made out of individual waves. This is so not just because the distinction between waves and particles becomes rather blurred at the atomic level, but also because even phenomena at much larger scales are better describedin terms of waves rather than of particles: It is rare in both fluids and solids to observe energy being carried from one region of space to another by a given set of material particles; much more often, this transfer occurs through chains of particles, neither of them moving much, but eachcommunicating with the next, and hence creating these immaterial objects we call waves. Waves occur at many spatial and temporal scales. Many of these waves have small enough amplitude that they can be approximately described by linear theory. However, the joint effect of large sets of waves is governed by nonlinear interactions which are responsible for huge cascades of energy among very disparate scales. Understanding these energy transfers is crucial in order to determine the response oflarge systems, such as the atmosphere and the ocean, to external forcings and dissipation mechanisms which act on scales decades apart. The field of wave turbulence attempts to understand the average behavior of large ensembles of waves, subjected to forcing and dissipation at opposite ends of theirspectrum. It does so by studying individual mechanisms for energy transfer, such as resonant triads and quartets, and attempting to draw from them effects that should not survive averaging. This book presents the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Dispersive Wave Turbulence held at Mt. Holyoke College (MA). It drew together a group of researchers from many corners of the world, in the context of a perceived renaissance of the field, driven by heated debate aboutthe fundamental mechanism of energy transfer among large sets of waves, as well as by novel applications-and old ones revisited-to the understanding of the natural world. These proceedings reflect the spirit that permeated the conference, that of friendly scientific disagreement and genuine wonderat the rich phenomenology of waves.
Proceedings Of The 5th International Conference On Applications In Nonlinear Dynamics
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Author : Visarath In
language : en
Publisher: Springer
Release Date : 2019-04-16
Proceedings Of The 5th International Conference On Applications In Nonlinear Dynamics written by Visarath In and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-16 with Science categories.
This book presents collaborative research presented by experts in the field of nonlinear science provides the reader with contemporary, cutting-edge, research works that bridge the gap between theory and device realizations of nonlinear phenomena. The conference provides a unique forum for applications of nonlinear systems while solving practical problems in science and engineering. Topics include: chaos gates, social networks, communication, sensors, lasers, molecular motors, biomedical anomalies, and stochastic resonance. This book provides a comprehensive report of the various research projects presented at the International Conference on Applications in Nonlinear Dynamics (ICAND 2018) held in Maui, Hawaii, 2018. It can be a valuable tool for scientists and engineering interested in connecting ideas and methods in nonlinear dynamics with actual design, fabrication and implementation of engineering applications or devices.
Advances In Wave Turbulence
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Author : Victor Shrira
language : en
Publisher: World Scientific
Release Date : 2013-05-10
Advances In Wave Turbulence written by Victor Shrira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-10 with Mathematics categories.
Wave or weak turbulence is a branch of science concerned with the evolution of random wave fields of all kinds and on all scales, from waves in galaxies to capillary waves on water surface, from waves in nonlinear optics to quantum fluids. In spite of the enormous diversity of wave fields in nature, there is a common conceptual and mathematical core which allows to describe the processes of random wave interactions within the same conceptual paradigm, and in the same language. The development of this core and its links with the applications is the essence of wave turbulence science (WT) which is an established integral part of nonlinear science.The book comprising seven reviews aims at discussing new challenges in WT and perspectives of its development. A special emphasis is made upon the links between the theory and experiment. Each of the reviews is devoted to a particular field of application (there is no overlap), or a novel approach or idea. The reviews cover a variety of applications of WT, including water waves, optical fibers, WT experiments on a metal plate and observations of astrophysical WT.
Advances In Passive Microwave Remote Sensing Of Oceans
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Author : Victor Raizer
language : en
Publisher: CRC Press
Release Date : 2024-09-05
Advances In Passive Microwave Remote Sensing Of Oceans written by Victor Raizer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-05 with Technology & Engineering categories.
This new edition introduces the fundamentals of passive microwave remote sensing of oceans, including the physical principles of microwave radiometry, novel observational data, their interpretation, and applications. It not only demonstrates and examines the recent advantages and state of the art of microwave data but also provides guidance for explaining complex ocean studies and advanced applications. All chapters are thoroughly updated with detailed analysis of space‐based microwave missions, and a new chapter on space‐based microwave radiometer experiments has been added. This book discusses the power of microwave remote sensing as an efficient tool for diagnostics of ocean phenomena in research and education. Features New to this Edition: • Includes a new chapter and additional data, images, illustrations, and references. • Uses ocean microwave data, acquired from different platforms, to illustrate different methods of analysis and interpretation. • Updates information on recent and important satellite missions dedicated to microwave remote sensing of oceans. • Offers more detailed analysis of multiband microwave data and images. • Provides examples of microwave data that cover different ocean environmental phenomena and hydro‐physical fields, including global and local ocean features. • Presents additional material on advanced applications, including detection capabilities. This book is intended for postgraduate students and professionals working in fields related to remote sensing, geography, oceanography, civil, environmental, and geotechnical engineering.