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7. Mechanics, Astronomy, Numerical Analysis, and Mathematical Models in Sciences

Stability of water waves in infinite depth with constant vorticity

Emilian Parau
University of East Anglia, UK

Abstract:

The stability of periodic travelling waves on fluid of infinite depth is examined in the presence of a constant background shear field. The effects of gravity and surface tension are ignored. Linear growth rates are calculated using both an asymptotic approach valid for small-amplitude waves and a numerical approach based on a collocation method. Both superharmonic and subharmonic perturbations are considered. This is joint work with Prof. Mark Blyth (UEA)