A note on the extremal properties of the morison equation

The extremal properties of the Morison equation F(t) = X′(t) + X(t)|X(t)|; for the force on a circular pile in a fluid, are derived by means of a Slepian model for the behaviour of X(t) around its local maxima. The behaviour of X′(t) near large maxima of X(t) is almost deterministic, and hence there is a simple relation between the maxima in X(t) and those in F(t).