The influence of wind on extreme wave events in shallow water is
investigated numerically. A series of numerical simulations using a
pressure distribution over the steep crests given by the modified
Jeffreys' sheltering theory shows that wind blowing over a strongly
modulated wave group due to the dispersive focusing of a chirped
long wave packet increases the time duration and maximal amplitude
of the extreme wave event. These results are coherent with those
obtained within the framework of deep water. However, steep wave
events are less unstable to wind perturbation in shallow water than
in deep water.
Mathematics Subject Classification: 76B07, 76B15, 76B25, 76D33, 76M25.