Overview

"The classical concept of turbulence is most often associated with fluid dynamics. However, it is in fact a dominant feature of most systems having a large or infinite number of degrees of freedom. In demonstration of this fact, the current volume covers topics such as acoustics, optics, and Jupiter's red spot, as wen as traditional hydrodynamics. The emphasis of the volume is on applications of the relatively new theory of weak turbulence. 'nis theory, which has been developed largely in the last twenty five years, anows for the existence of a multiplicity of linearly unstable modes interacting in a nonlinear ""soup."" It makes many intriguing connections to such topics as Hamiltonian mechanics, nonlinear parties, equations and integrable systems, stochastic analysis, and methods developed in quantum field theory. Most of the contributions in this book aim at finding and applying the proper mathematical and statistical tools to describe fully developed turbulence. These diverse applications serve to illustrate the power of a unified approach based for the most part on a Hamiltonian formulation. A few chapters address a class of stochastic nonlinear nondispersive waves known as Burger:e turbulence. Set into historical context by V. E. Zakharov's opening chapter, the contributions to this book will be of interest to research workers and graduate students in pure and applied mathematics, theoretical physics, fluid mechanics, oceanography, and various areas of engineering."

Full Product Details

Author:   FITZMAURICE ,  GURARIE ,  MCCAUGHAN ,  WOYCZYNSKI
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1993 ed.
Volume:   11
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.530kg
ISBN:  

9780817636678

ISBN 10:   0817636676
Pages:   345
Publication Date:   01 January 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I Hamiltonian Systems.- 1 Turbulence in Hamiltonian Systems.- 2 Revised Universality Concept in the Turbulence Theory.- 3 Wave Spectra of Developed Seas.- 4 Gravity Waves in the Large Scales of the Atmosphere.- 5 Physical Applications of Wave Turbulence: Wind Waves and Classical Collective Modes.- 6 Strong and Weak Turbulence for Gravity Waves and the Cubic Schrödinger Equation.- 7 Hidden Symmetries of Hamiltonian Systems over Holomorphic Curves.- II Flow Stability.- 8 Chaotic Motion in Unsteady Vortical Flows.- 9 Oblique Instability Waves in Nearly Parallel Shear Flows.- 10 Modeling Turbulence by Systems of Coupled Gyrostats.- III Nonlinear Waves in Condensed Matter.- 11 Soliton Turbulence in Nonlinear Optical Phenomena.- 12 Solitons Propagation in Optical Fibers with Random Parameters.- 13 Collision Dynamics of Solitary Waves in Nematic Liquid Crystals.- IV Statistical Problems.- 14 Statistical Mechanics, Euler’s Equation, and Jupiter’s Red Spot.- 15 Stochastic Burgers’ Flows.- 16 Long Range Prediction and Scaling Limit for Statistical Solutions of the Burgers’ Equation.- 17 A Remark on Shocks in Inviscid Burgers’ Turbulence.

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