Deep water gravity waves : on the simpler aspects of nonlinear fluctuating (weak interaction theory)

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Bibliografiske detaljer
Hovedforfatter: West, Bruce J.
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in physics 146
Fag:
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Edition sous un autre format:• Deep water gravity waves, on the simpler aspects of nonlinear fluctuating, weak interaction theory, Bruce J. West, Berlin, Springer-Verkag, 1981, 1 volume (vi-341 pages), Lecture notes in physics, 3-540-10852-1
• On the Simpler Aspect of Nonlinear Fluctuating Deep Water Gravity Waves, Texte imprimé, 9783662193396
Indholdsfortegnelse:
  • 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.