Bruce J. West • Deep Water Gravity Waves

Bruce J. West • Deep Water Gravity Waves

On the Simpler Aspect of Nonlinear Fluctuating Deep Water Gravity Waves (Weak Interaction Theory)

Table of Contents
Introduction to water waves - Pages 1-16
More comments on mathematical techniques - Pages 17-26
The Hamiltonian for an isolated gravity wave field - Pages 27-39
Deep water eigenmodes - Pages 40-47
Resonant interactions and dynamics equations - Pages 48-60
Resonance among gravity waves - Pages 61-76
Resonant instabilities and the nonlinear Schröndinger equation - Pages 77-91
Unstable finite amplitude waves and envelope functions - Pages 92-100
Stability vs. instability - Pages 101-120
Kolmogorov's average Hamiltonian technique - Pages 121-132
Modification of the Hamiltonian to couple with the wind - Pages 133-144
Langrangian formulation - Pages 145-153
Linear stochastic differential equation (Langevin model) - Pages 154-163
Steady-state gravity-capillary spectrum - Pages 164-176
Steady-state linear wave field - Pages 177-189
Linear stochastic differential equation (cumulant expansions) - Pages 190-201
Gravity wave instability - Pages 202-209
Stochastic nonlinear gravity waves - Pages 210-220
Steady-state nonlinear wave field - Pages 221-234
Phase space equation of evolution - Pages 235-248
Entropy and the Fokker-Planck approximation - Pages 249-262
State of minimum entropy production - Pages 263-272
Entropy generation in the approach to the steady-state - Pages 273-287
Closure of the moment transport equations - Pages 288-295
Non-homogenous transport equation - Pages 296-306
Example calculations - Pages 307-321
Areas for further study - Pages 322-328

Lecture Notes in Physics - Volume 146

Springer, Paperback, english, 341 pages