|
Showing 1 - 6 of
6 matches in All Departments
This book collects together recent results on large-scale
structures in non-linear science. Coherent states, convective and
turbulent patterns, inverse cascades, interfaces and cooperative
phenomena in fluids and plasmas are discussed, together with the
implementation of concepts of statistical mechanics to particle
physics and nuclear matter. Special attention is devoted to
phenomena, such as mixing, which display macroscopicfeatures, even
though generated by small-scale dynamical processes. In this
context, homoclinic structure, the KAM theorem, Lyapunov stability,
and singularities are addressed. A new perturbative technique for
classical and quantum fields and new results concerning the
analysis of hierarchially organized objects are presented. The book
should be attractive for a large audience including engineers,
mathematicians and physicists.
Small-scale structures in turbulent flows appear as a subtle
mixture of order and chaos that could play an important role in the
energetics. The aim here is a better understanding of the
similarities and differences between vortex and current dynamics,
and of the influence of these structures on the statistical and
transport properties of hydrodynamic and magnetohydrodynamic
turbulence, with special concern for fusion plasmas, and solar or
magnetospheric environments. Special emphasis is given to the
intermittency at inertial scales and to the coherent structures at
small scales. Magnetic reconnection and the dynamo effect are also
discussed, together with the effect of stratification and
inhomogeneity. The impact of hydrodynamic concepts on astro and
geophysical observations are reviewed.
Filling the gap between the mathematical literature and
applications to domains, the authors have chosen to address the
problem of wave collapse by several methods ranging from rigorous
mathematical analysis to formal aymptotic expansions and numerical
simulations.
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."
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."
This monograph aims to fill the gap between the mathematical literature which significantly contributed during the last decade to the understanding of the collapse phenomenon, and applications to domains like plasma physics and nonlinear optics where this process provides a fundamental mechanism for small scale formation and wave dissipation. This results in a localized heating of the medium and in the case of propagation in a dielectric to possible degradation of the material. For this purpose, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal asymptotic expansions and numerical simulations.
|
|