Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves

Details Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves

2009-03-27

arxiv.org/abs/0903.4813v1

EPL 86 (2009) 29001

Physics

Fluid Dynamics

6 pages, submitted

Scientific paper

The influence of an underlying current on 3-wave interactions of capillary water waves is studied. The fact that in irrotational flow resonant 3-wave interactions are not possible can be invalidated by the presence of an underlying current of constant non-zero vorticity. We show that: 1) wave trains in flows with constant non-zero vorticity are possible only for two-dimensional flows; 2) only positive constant vorticities can trigger the appearance of three-wave resonances; 3) the number of positive constant vorticities which do trigger a resonance is countable; 4) the magnitude of a positive constant vorticity triggering a resonance can not be too small.

Affiliated with

Also associated with

No associations

Rating

Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21604