Wave interactions

J  Vanneste

Wave interactions

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Waves with different wavenumbers and frequencies interact when they propagate in a nonlinear medium. In the weakly nonlinear limit, the interactions involve only small sets of waves (triads or quartets), and they are governed by simple amplitude equations. These lectures present the derivation of these amplitude equations, examine their properties and solutions, and discuss some applications to waves in fluids, in particular to Rossby waves and surface gravity waves.

Original language	English
Title of host publication	Nonlinear Waves in Fluids: Recent Advances and Modern Applications
Editors	R Grimshaw
Place of Publication	VIENNA
Publisher	Springer
Pages	69-94
Number of pages	26
ISBN (Print)	3-211-25259-2
Publication status	Published - 2005

Keywords / Materials (for Non-textual outputs)

NONLINEAR-INTERACTIONS
GEOPHYSICAL WAVES
ROSSBY WAVES
SHEAR FLOWS
STABILITY
FLUID
VARIABLES
MECHANICS
SPACE
PHASE

Cite this

@inproceedings{b410e739f50b4710937201238e0f9f58,

title = "Wave interactions",

abstract = "Waves with different wavenumbers and frequencies interact when they propagate in a nonlinear medium. In the weakly nonlinear limit, the interactions involve only small sets of waves (triads or quartets), and they are governed by simple amplitude equations. These lectures present the derivation of these amplitude equations, examine their properties and solutions, and discuss some applications to waves in fluids, in particular to Rossby waves and surface gravity waves.",

keywords = "NONLINEAR-INTERACTIONS, GEOPHYSICAL WAVES, ROSSBY WAVES, SHEAR FLOWS, STABILITY, FLUID, VARIABLES, MECHANICS, SPACE, PHASE",

author = "J Vanneste",

year = "2005",

language = "English",

isbn = "3-211-25259-2",

pages = "69--94",

editor = "R Grimshaw",

booktitle = "Nonlinear Waves in Fluids: Recent Advances and Modern Applications",

publisher = "Springer",

address = "United Kingdom",

}

TY - GEN

T1 - Wave interactions

AU - Vanneste, J

PY - 2005

Y1 - 2005

N2 - Waves with different wavenumbers and frequencies interact when they propagate in a nonlinear medium. In the weakly nonlinear limit, the interactions involve only small sets of waves (triads or quartets), and they are governed by simple amplitude equations. These lectures present the derivation of these amplitude equations, examine their properties and solutions, and discuss some applications to waves in fluids, in particular to Rossby waves and surface gravity waves.

AB - Waves with different wavenumbers and frequencies interact when they propagate in a nonlinear medium. In the weakly nonlinear limit, the interactions involve only small sets of waves (triads or quartets), and they are governed by simple amplitude equations. These lectures present the derivation of these amplitude equations, examine their properties and solutions, and discuss some applications to waves in fluids, in particular to Rossby waves and surface gravity waves.

KW - NONLINEAR-INTERACTIONS

KW - GEOPHYSICAL WAVES

KW - ROSSBY WAVES

KW - SHEAR FLOWS

KW - STABILITY

KW - FLUID

KW - VARIABLES

KW - MECHANICS

KW - SPACE

KW - PHASE

M3 - Conference contribution

SN - 3-211-25259-2

SP - 69

EP - 94

BT - Nonlinear Waves in Fluids: Recent Advances and Modern Applications

A2 - Grimshaw, R

PB - Springer

CY - VIENNA

ER -

Wave interactions

Abstract

Keywords / Materials (for Non-textual outputs)

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