Universality of sea wave growth and its physical roots

What is it about?

We propose a concise relationship between instantaneous wave steepness and time or fetch of wave development expressed in dimensionless wave periods or lengths. The validity of this law is illustrated by results of numerical simulations, in situ measurements of growing wind seas and wind-wave tank observations.

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Why is it important?

This asymptotic physical law derived from the first principles of the theory of weak turbulence does not contain wind speed explicitly.

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