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Nonlinear MHD Waves and Turbulence

Nonlinear MHD Waves and Turbulence
Author: Thierry Passot
Publisher: Springer
Total Pages: 395
Release: 2008-01-11
Genre: Science
ISBN: 3540470387

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The workshop "Nonhnear MHD Waves and Turbulence" was held at the - servatoire de Nice, December 1-4, 1998 and brought together an international group of experts in plasma physics, fluid dynamics and applied mathematics. The aim of the meeting was to survey the current knowledge on two main topics: (i) propagation of plasma waves (like Alfven, whistler or ion-acoustic waves), their instabilities and the development of a nonlinear dynamics lea ding to solitonic structures, wave collapse or weak turbulence; (ii) turbulence in magnetohydrodynamic flows and its reduced description in the presence of a strong ambient magnetic fleld. As is well known, both aspects play an important role in various geophysical or astrophysical media such as the - gnetospheres of planets, the heliosphere, the solar wind, the solar corona, the interplanetary and interstellar media, etc. This volume, which includes expanded versions of oral contributions pre sented at this meeting, should be of interest for a large community of resear chers in space plasmas and nonlinear sciences. Special effort was made to put the new results into perspective and to provide a detailed literature review. A main motivation was the attempt to relate more closely the theoretical un derstanding of MHD waves and turbulence (both weak and strong) with the most recent observations in space plasmas. Some papers also bring interesting new insights into the evolution of hydrodynamic or magnetohydrodynamic structures, based on systematic asymptotic methods.


Turbulence and Nonlinear Dynamics in MHD Flows

Turbulence and Nonlinear Dynamics in MHD Flows
Author: M. Meneguzzi
Publisher: Elsevier
Total Pages: 290
Release: 2012-12-02
Genre: Science
ISBN: 0444598731

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Topics discussed at this international workshop include: magnetic fields in astrophysical flows, slow and fast dynamos, MHD turbulence in space plasmas and in the laboratory, exact solutions to MHD, topology and chaos in MHD, helicity and velocity-magnetic correlations, turbulent reconnection and non-magnetic flows.


Nonlinear MHD Waves and Turbulence

Nonlinear MHD Waves and Turbulence
Author: Thierry Passot
Publisher: Springer
Total Pages: 385
Release: 1999-12-15
Genre: Science
ISBN: 9783540666974

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The workshop "Nonhnear MHD Waves and Turbulence" was held at the - servatoire de Nice, December 1-4, 1998 and brought together an international group of experts in plasma physics, fluid dynamics and applied mathematics. The aim of the meeting was to survey the current knowledge on two main topics: (i) propagation of plasma waves (like Alfven, whistler or ion-acoustic waves), their instabilities and the development of a nonlinear dynamics lea ding to solitonic structures, wave collapse or weak turbulence; (ii) turbulence in magnetohydrodynamic flows and its reduced description in the presence of a strong ambient magnetic fleld. As is well known, both aspects play an important role in various geophysical or astrophysical media such as the - gnetospheres of planets, the heliosphere, the solar wind, the solar corona, the interplanetary and interstellar media, etc. This volume, which includes expanded versions of oral contributions pre sented at this meeting, should be of interest for a large community of resear chers in space plasmas and nonlinear sciences. Special effort was made to put the new results into perspective and to provide a detailed literature review. A main motivation was the attempt to relate more closely the theoretical un derstanding of MHD waves and turbulence (both weak and strong) with the most recent observations in space plasmas. Some papers also bring interesting new insights into the evolution of hydrodynamic or magnetohydrodynamic structures, based on systematic asymptotic methods.


Advances In Wave Turbulence

Advances In Wave Turbulence
Author: Victor Shrira
Publisher: World Scientific
Total Pages: 294
Release: 2013-05-10
Genre: Mathematics
ISBN: 9814520802

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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.


MHD Structures, Waves and Turbulence in the Solar Wind

MHD Structures, Waves and Turbulence in the Solar Wind
Author: C.-Y. Tu
Publisher: Springer Science & Business Media
Total Pages: 214
Release: 2013-06-29
Genre: Science
ISBN: 9401585415

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This is the first book to give a comprehensive overview of recent observational and theoretical results on solar wind structures and fluctuations and magnetohydrodynamic waves and turbulence, preference being given to phenomena in the inner heliosphere. Emphasis is placed on the progress made in the past decade in the understanding of the nature and origin of especially small-scale, compressible and incompressible fluctuations. Turbulence models describing the spatial transport and spectral transfer of the fluctuations in the inner heliosphere are discussed. Intermittency of solar wind fluctuations and their statistical distributions are investigated. Studies of the heating and acceleration effects of the turbulence on the background wind are critically surveyed. Finally, open questions concerning the origin, nature and evolution of the fluctuations are listed, and perspectives for future research are outlined. The book is for graduate students and researchers in the field. Other target groups are scientists and professionals interested in space plasma physics and/or MHD turbulence.


Nonlinear Waves and Weak Turbulence

Nonlinear Waves and Weak Turbulence
Author: Vladimir Evgenʹevich Zakharov
Publisher: American Mathematical Soc.
Total Pages: 212
Release: 1998
Genre: Hamiltonian systems
ISBN: 9780821841136

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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, Poincare normal forms and the inverse scattering method.


Nonlinear Magnetohydrodynamics

Nonlinear Magnetohydrodynamics
Author: D. Biskamp
Publisher: Cambridge University Press
Total Pages: 400
Release: 1997-07-17
Genre: Mathematics
ISBN: 9780521599184

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A self-contained introduction to magnetohydrodynamics with emphasis on nonlinear processes.


Wave Turbulence

Wave Turbulence
Author: Sergey Nazarenko
Publisher: Springer Science & Business Media
Total Pages: 287
Release: 2011-02-12
Genre: Science
ISBN: 3642159419

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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.


Turbulence in Magnetohydrodynamics

Turbulence in Magnetohydrodynamics
Author: Andrey Beresnyak
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 434
Release: 2019-07-08
Genre: Science
ISBN: 3110392240

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Magnetohydrodynamics describes dynamics in electrically conductive fluids. These occur in our environment as well as in our atmosphere and magnetosphere, and play a role in the sun's interaction with our planet. In most cases these phenomena involve turbulences, and thus are very challenging to understand and calculate. A sound knowledge is needed to tackle these problems. This work gives the basic information on turbulence in nature, comtaining the needed equations, notions and numerical simulations. The current state of our knowledge and future implications of MHD turbulence are outlined systematically. It is indispensable for all scientists engaged in research of our atmosphere and in space science.