On the Simpler Aspect of Nonlinear Fluctuating Deep Water Gravity Waves
Springer Berlin (Hersteller)
978-3-540-38762-6 (ISBN)
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.
| Erscheint lt. Verlag | 14.8.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Physics and Astronomy | Physics and Astronomy (R0) |
| Zusatzinfo | VI, 345 p. 3 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik |
| Schlagworte | differential equation • Dynamics • Entropy • Evolution • Gravity • Hamiltonsche Bewegungsgleichungen • Meereswelle • Nichtlineare Welle • Phase • stability • Transport • Water • Wave • Waves • Wind |
| ISBN-10 | 3-540-38762-5 / 3540387625 |
| ISBN-13 | 978-3-540-38762-6 / 9783540387626 |
| Zustand | Neuware |
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