Kolmogorov Zakharov Spectra Of Turbulence
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Kolmogorov Spectra Of Turbulence I
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Author : Vladimir E. Zakharov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Kolmogorov Spectra Of Turbulence I written by Vladimir E. Zakharov 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 Science categories.
Since the human organism is itself an open system, we are naturally curious about the behavior of other open systems with fluxes of matter, energy or information. Of the possible open systems, it is those endowed with many degrees of freedom and strongly deviating from equilibrium that are most challenging. A simple but very significant example of such a system is given by developed turbulence in a continuous medium, where we can discern astonishing features of universality. This two-volume monograph deals with the theory of turbulence viewed as a general physical phenomenon. In addition to vortex hydrodynamic turbulence, it considers various cases of wave turbulence in plasmas, magnets, atmosphere, ocean and space. A sound basis for discussion is provided by the concept of cascade turbulence with relay energy transfer over different scales and modes. We shall show how the initial cascade hypothesis turns into an elegant theory yielding the Kolmogorov spectra of turbulence as exact solutions. We shall describe the further development of the theory discussing stability prob lems and modes of Kolmogorov spectra formation, as well as their matching with sources and sinks. This volume is dedicated to developed wave turbulence in different media.
Kolmogorov Zakharov Spectra Of Turbulence
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Author : Vladimir Zakharov
language : en
Publisher: Springer Nature
Release Date : 2025-03-30
Kolmogorov Zakharov Spectra Of Turbulence written by Vladimir Zakharov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-30 with Science categories.
Starting at the level of graduate students, this book offers a comprehensive introduction to a rapidly developing field of turbulence. It also presents the state of the art of the theory of wave turbulence in diverse media for researchers looking for a formalism to solve existing problems or for new research subjects and ideas. The book provides a general theory of developed wave turbulence in different media: plasmas, solids, atmosphere, oceans and space. The presentation starts with a simple and intuitive dimensional analysis and proceeds to a rigorous analytic theory with exact solutions for the stationary spectra of turbulence, stability theory of such spectra, description of nonstationary regimes and matching spectra with pumping and dissipation regions. The reader is provided with the necessary tools to study nonlinear waves and turbulence: Hamiltonian formalism, statistical description, derivation of kinetics equations and methods of finding their steady and non-steady solutions. In this second edition the book is brought up to date both in theoretical and experimental/observational aspects. In particular, the authors have updated and revised the description of nonstationary turbulence, turbulent entropy production, etc, and added discussions of master equation and several cases of strong turbulence and nonlocal cascades. The book now includes excercises, some with solutions.
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.
Physics Of Wave Turbulence
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Author : Sébastien Galtier
language : en
Publisher: Cambridge University Press
Release Date : 2022-12-22
Physics Of Wave Turbulence written by Sébastien Galtier 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 2022-12-22 with Mathematics categories.
A rigorously comprehensive and interdisciplinary text on wave turbulence, for graduate students and researchers in physics-related fields.
Non Equilibrium Statistical Mechanics And Turbulence
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Author : John Cardy
language : en
Publisher: Cambridge University Press
Release Date : 2008-12-11
Non Equilibrium Statistical Mechanics And Turbulence written by John Cardy 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 2008-12-11 with Mathematics categories.
This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.
Nonlinear Pde S In Condensed Matter And Reactive Flows
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Author : Henri Berestycki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Pde S In Condensed Matter And Reactive Flows written by Henri Berestycki 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.
Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.
Iutam Symposium On Hamiltonian Dynamics Vortex Structures Turbulence
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Author : Alexey V. Borisov
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-22
Iutam Symposium On Hamiltonian Dynamics Vortex Structures Turbulence written by Alexey V. Borisov 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 2007-12-22 with Science categories.
This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important.
Extreme Ocean Waves
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Author : Efim Pelinovsky
language : en
Publisher: Springer
Release Date : 2015-09-02
Extreme Ocean Waves written by Efim Pelinovsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-02 with Science categories.
This revised and updated second edition details the vast progress that has been achieved in the understanding of the physical mechanisms of rogue wave phenomenon in recent years. The selected articles address such issues as the formation of rogue waves due to modulational instability of nonlinear wave field, physical and statistical properties of extreme ocean wave generation in deep water as well as in shallow water, various models of nonlinear water waves, special analysis of nonlinear resonances between water waves and the relation between in situ observations, experimental data and rogue wave theories. In addition, recent results on tsunami waves due to subaerial landslides are presented. This book is written for specialists in the fields of fluid mechanics, applied mathematics, nonlinear physics, physical oceanography and geophysics, and for students learning these subjects.
Advances In Wave Turbulence
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Author : Victor Shrira
language : en
Publisher: World Scientific
Release Date : 2013
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 with Science 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 us 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.