Energy Conservation and Resonance Conditions for Interactions of an Infinite Number of Ocean Surface Waves

HUANG Hu

doi:10.3879/j.issn.1000-0887.2014.05.010

Volume 35 Issue 5

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HUANG Hu. Energy Conservation and Resonance Conditions for Interactions of an Infinite Number of Ocean Surface Waves[J]. Applied Mathematics and Mechanics, 2014, 35(5): 565-571. doi: 10.3879/j.issn.1000-0887.2014.05.010

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Energy Conservation and Resonance Conditions for Interactions of an Infinite Number of Ocean Surface Waves

doi: 10.3879/j.issn.1000-0887.2014.05.010

HUANG Hu

Shanghai Key Laboratory of Mechanics in Energy Engineering;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University, Shanghai 200072, P.R.China

Funds: The National Natural Science Foundation of China (11172157)

Received Date: 2013-10-16
Rev Recd Date: 2014-03-01
Publish Date: 2014-05-15

Abstract

Abstract

Based on the energy conservation law and the existing wave-wave resonance conditions for ocean surface waves, a typical group of resonance conditions for the 3-4-5-6-7 wave interactions was put forward through expansion of the Hamiltonian energy functional into a 7-order symmetrical integro-power series, therefore a general group of resonance conditions for an infinite number of wave interactions was induced and deduced. The work may make a great improvement in the present structure of the fundamental wave turbulence theory.
- resonance condition,
- an infinite number of ocean surface waves,
- energy conservation,
- symmetry,
- wave turbulence

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References(26)

References

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