Ship waves in a stratified fluid

The far-field asymptotics of the linear waves excited by a moving object are obtained for a fluid consisting of n density layers (n is arbitrary). The structure of the perturbations of free surface and density interfaces is analyzed as a function of the depth of the object and its velocity. The amplitudes of different types of waves are compared. The present model also confirms and generalizes the features of the ship waves that were known previously only for the cases of one-layer and two-layer fluids.