Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves - Physics > Fluid DynamicsReport as inadecuate




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Abstract: The influence of an underlying current on 3-wave interactions of capillarywater waves is studied.
The fact that in irrotational flow resonant 3-waveinteractions are not possible can be invalidated by the presence of anunderlying current of constant non-zero vorticity.
We show that: 1 wave trainsin flows with constant non-zero vorticity are possible only for two-dimensionalflows; 2 only positive constant vorticities can trigger the appearance ofthree-wave resonances; 3 the number of positive constant vorticities which dotrigger a resonance is countable; 4 the magnitude of a positive constantvorticity triggering a resonance can not be too small.



Author: Adrian Constantin, Elena Kartashova

Source: https://arxiv.org/



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