Nonlinear evolution equations in crossing seas in the presence of uniform wind flow

Abstract

The effect of uniform wind flow in a situation of crossing sea states is studied here on the stability analysis for a pair of obliquely interacting uniform wave trains. It is observed that the growth rate of instability in crossing seas in the presence of wind flow is much higher than that in the absence of wind flow. It is also found that the growth rate of instability increases as the wind flow velocity increases up to some critical velocity beyond which the wave becomes linearly unstable and consequently the present analysis does not remain valid. The growth rate of instability obtained here is also greater than that for a single wave packet propagating in the presence of uniform wind flow.