wave turbulence 825 lecture notes in physics

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Wave Turbulence

Author : Sergey Nazarenko
ISBN : 9783642159411
Genre : Science
File Size : 84. 98 MB
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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.

Shaping Light In Nonlinear Optical Fibers

Author : Sonia Boscolo
ISBN : 9781119088141
Genre : Technology & Engineering
File Size : 75. 50 MB
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This book is a contemporary overview of selected topics in fiber optics. It focuses on the latest research results on light wave manipulation using nonlinear optical fibers, with the aim of capturing some of the most innovative developments on this topic. The book’s scope covers both fundamentals and applications from both theoretical and experimental perspectives, with topics including linear and nonlinear effects, pulse propagation phenomena and pulse shaping, solitons and rogue waves, novel optical fibers, supercontinuum generation, polarization management, optical signal processing, fiber lasers, optical wave turbulence, light propagation in disordered fiber media, and slow and fast light. With contributions from leading-edge scientists in the field of nonlinear photonics and fiber optics, they offer an overview of the latest advances in their own research area. The listing of recent research papers at the end of each chapter is useful for researchers using the book as a reference. As the book addresses fundamental and practical photonics problems, it will also be of interest to, and benefit, broader academic communities, including areas such as nonlinear science, applied mathematics and physics, and optical engineering. It offers the reader a wide and critical overview of the state-of-the-art within this practical – as well as fundamentally important and interesting – area of modern science, providing a useful reference which will encourage further research and advances in the field.

On The Theory Of Weak Turbulence For The Nonlinear Schrodinger Equation

Author : M. Escobedo
ISBN : 9781470414344
File Size : 89. 41 MB
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The authors study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. They define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained. The authors also prove the existence of a family of solutions that exhibit pulsating behavior.

Advances In Wave Turbulence

Author : Victor Shrira
ISBN : 9789814520805
Genre : Mathematics
File Size : 37. 46 MB
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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. Contents:Wave Turbulence, A Story Far from Over (Alan C Newell and Benno Rumpf)Fluctuations of the Energy Flux in Wave Turbulence (S Aumaître, E Falcon and S Fauve)Wave Turbulence in Astrophysics (Sebastien Galtier)Optical Wave Turbulence (S K Turitsyn, S A Babin, E G Turitsyna, G E Falkovich, E V Podivilov and D V Churkin)Wave Turbulence in a Thin Elastic Plate: The Sound of the Kolmogorov Spectrum? (G Düring and N Mordant)Gravity Wave Turbulence in a Large Flume (R Bedard, S Lukaschuk and S Nazarenko)Towards a New Picture of Wave Turbulence (V I Shrira and S Y Annenkov) Readership: Researchers, professionals and graduate students in mathematical physics, energy studies, solid & fluid mechanics, and complex systems. Keywords:Wave Turbulence;Fluid Dynamics;Gravity Waves;Optical Turbulence;Capillary Waves;Wind Waves;Numerical Simulations;Random FieldsKey Features:Reflects recent formidable advances in, and presents a new picture of wave turbulence using a common mathematical modelExperimental and theoretical viewpoints on enhancing the predictive and descriptive powers of wave turbulenceReviews: “As a whole, this book is of high-quality, numerously illustrated and can be recommended for the specialists in the field, PhD students and all of readers who are interested in WT problems. The book will also be useful to academic teachers of nonlinear sciences.” Pure and Applied Geophysics

Lecture Notes On Turbulence And Coherent Structures In Fluids Plasmas And Nonlinear Media

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ISBN : 9789814478441
Genre :
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26th Aiaa Fluid Dynamics Conference

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ISBN : PSU:000025683561
Genre : Fluid dynamics
File Size : 50. 84 MB
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Turbulence And Magnetic Fields In Astrophysics

Author : Edith Falgarone
ISBN : 9783540362388
Genre : Science
File Size : 36. 21 MB
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This book contains review articles of most of the topics addressed at the conf- ence on Simulations of Magnetohydrodynamic turbulence in astrophysics: recent achievements and perspectives which took place from July 2 to 6, 2001 at the Institut Henri Poincar ́e in Paris. We made the choice to publish these lectures in a tutorial form so that they can be read by a broad audience. As a result, this book does not give an exhaustive view of all the subjects addressed during the conference. The main objective of this workshop which gathered about 90 scientists from di?erent ?elds, was to present and confront recent results on the topic of t- bulence in magnetized astrophysical environments. A second objective was to discuss the latest generation of numerical codes, such as those using adaptive mesh re?nement (AMR) techniques. During a plenary discussion at the end of the workshop discussions were held on several topics, often at the heart of vivid controversies. Topics included the timescale for the dissipation of magneto-hydrodynamical (MHD) turbulence, the role of boundary conditions, the characteristics of imbalanced turbulence, the validity of the polytropic approach to Alfv ́en waves support within interst- lar clouds, the source of turbulence inside clouds devoid of stellar activity, the timescale for star formation, the Alfv ́en Mach number of interstellar gas motions, the formation process for helical ?elds in the interstellar medium. The impact of small upon large scales was also discussed.

Kolmogorov Spectra Of Turbulence I

Author : Vladimir E. Zakharov
ISBN : 9783642500527
Genre : Science
File Size : 52. 86 MB
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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.


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ISBN : UOM:39015030240496
Genre : Mechanical engineering
File Size : 52. 46 MB
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Asme Technical Papers

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ISBN : PSU:000026614229
Genre : Mechanical engineering
File Size : 78. 16 MB
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