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- Title
On internal nonlinear resonant interaction of capillary-gravitational waves on the flat surface of a viscous liquid.
- Authors
Belonozhko, D.; Grigor'ev, A.
- Abstract
Mechanisms behind internal nonlinear resonant interaction of periodic capillary-gravitational waves on the uniformly charged flat surface of an infinitely deep viscous conducting liquid are considered. A mathematical procedure modifying the well-known method of many scales is proposed for constructing an asymptotically valid solution near the resonance. It is shown that the internal nonlinear resonant interaction results in effective energy transfer from long waves to shorter ones. An increase in the viscosity of the liquid diminishes the rate of energy transfer between resonantly interacting waves.
- Subjects
GRAVITY waves; ENERGY transfer; VISCOSITY; RESONANCE; CHARGE density waves; GRAVITATIONAL fields
- Publication
Technical Physics, 2006, Vol 51, Issue 12, p1563
- ISSN
1063-7842
- Publication type
Article
- DOI
10.1134/S1063784206120036