Deep Water Gravity Waves [electronic resource] : On the Simpler Aspects of Nonlinear Fluctuating (Weak Interaction Theory) / by Bruce J. West.

to water waves -- More comments on mathematical techniques -- The Hamiltonian for an isolated gravity wave field -- Deep water eigenmodes -- Resonant interactions and dynamics equations -- Resonance among gravity waves -- Resonant instabilities and the nonlinear Schröndinger equation -- Unstable finite amplitude waves and envelope functions -- Stability vs. instability -- Kolmogorov's average Hamiltonian technique -- Modification of the Hamiltonian to couple with the wind -- Langrangian formulation -- Linear stochastic differential equation (Langevin model) -- Steady-state gravity-capillary spectrum -- Steady-state linear wave field -- Linear stochastic differential equation (cumulant expansions) -- Gravity wave instability -- Stochastic nonlinear gravity waves -- Steady-state nonlinear wave field -- Phase space equation of evolution -- Entropy and the Fokker-Planck approximation -- State of minimum entropy production -- Entropy generation in the approach to the steady-state -- Closure of the moment transport equations -- Non-homogenous transport equation -- Example calculations -- Areas for further study.