Advances in wave interaction and turbulence : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Dispersive Wave Turbulence, Mount Holyoke College, South Hadley, MA, June 11-15, 2000 / Paul A. Milewski [and three others], editors.

Format:

Book

Conference/Event

Author/Creator:

AMS-IMS-SIAM Joint Summer Research Conference on Dispersive Wave Turbulence, Corporate Author.

Contributor:

Milewski, Paul A., 1966- editor.

Conference Name:

AMS-IMS-SIAM Joint Summer Research Conference on Dispersive Wave Turbulence (2000 : Mount Holyoke College), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; 283.

Contemporary mathematics, 0271-4132 ; 283

Language:

English

Subjects (All):

Wave-motion, Theory of--Congresses.

Wave-motion, Theory of.

Turbulence--Congresses.

Turbulence.

Physical Description:

1 online resource (130 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2001]

Language Note:

English

Summary:

We often think of our natural environment as being composed of very many interacting particles, undergoing individual chaotic motions, of which only very coarse averages are perceptible at scales natural to us. However, we could as well think of the world as being made out of individual waves. This is so not just because the distinction between waves and particles becomes rather blurred at the atomic level, but also because even phenomena at much larger scales are better describedin terms of waves rather than of particles: It is rare in both fluids and solids to observe energy being carried from one region of space to another by a given set of material particles; much more often, this transfer occurs through chains of particles, neither of them moving much, but eachcommunicating with the next, and hence creating these immaterial objects we call waves. Waves occur at many spatial and temporal scales. Many of these waves have small enough amplitude that they can be approximately described by linear theory. However, the joint effect of large sets of waves is governed by nonlinear interactions which are responsible for huge cascades of energy among very disparate scales. Understanding these energy transfers is crucial in order to determine the response oflarge systems, such as the atmosphere and the ocean, to external forcings and dissipation mechanisms which act on scales decades apart. The field of wave turbulence attempts to understand the average behavior of large ensembles of waves, subjected to forcing and dissipation at opposite ends of theirspectrum. It does so by studying individual mechanisms for energy transfer, such as resonant triads and quartets, and attempting to draw from them effects that should not survive averaging. This book presents the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Dispersive Wave Turbulence held at Mt. Holyoke College (MA). It drew together a group of researchers from many corners of the world, in the context of a perceived renaissance of the field, driven by heated debate aboutthe fundamental mechanism of energy transfer among large sets of waves, as well as by novel applications-and old ones revisited-to the understanding of the natural world. These proceedings reflect the spirit that permeated the conference, that of friendly scientific disagreement and genuine wonderat the rich phenomenology of waves.

Contents:

Intro

Contents

Preface

Strongly stratified limit of 3D primitive equations in an infinite layer

Anomalous transport by wave turbulence

Statistical equilibrium theories for the nonlinear Schrödinger equation

Is there a 2D cascade in 3D convection?

The forced inviscid Burgers equation as a model for nonlinear interactions among dispersive waves

Traveling surface elastic waves in the half-plane

Numerical study of two-dimensional stratified turbulence

Turbulence of one-dimensional weakly nonlinear dispersive waves.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7873-5