@**article**{RISC3812,author = {A. Constantin and E. Kartashova},

title = {{Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves}},

language = {english},

abstract = {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.},

journal = {EPL},

volume = {86},

pages = {29001--6},

isbn_issn = {ISSN (print edition): 0295-5075 ISSN (online): 1286-4854},

year = {2009},

refereed = {yes},

length = {6},

url = { http://www.iop.org/EJ/abstract/0295-5075/86/2/29001/}

}