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Stability of waves on fluid of infinite depth with constant vorticity

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HY2W01 - Modulation theory and dispersive shock waves

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. This work was done in collaboration with Mark Blyth (UEA)

This talk is part of the Isaac Newton Institute Seminar Series series.

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