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  • @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/}