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Wind-forced modulations in crossing sea states over infinite depth water
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The present work is motivated by the work of Leblanc [“Amplification of nonlinear surface waves by wind,” Phys. Fluids19, 101705 (2007)] which showed that Stokes waves grow super exponentially under fair wind as a result of modulational instability. Here, we have studied the effect of wind in a situation of crossing sea states characterized by two obliquely propagating wave systems in deep water. It is found that the wind-forced uniform wave solution in crossing seas grows explosively with a super-exponential growth rate even under a steady horizontal wind flow. This is an important piece of information in the context of the formation of freak waves.
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