ON SHIP WAVES

In the first part of the paper asymptotic representations at infinity of the Green function, of the velocity potential and of the elevation of the free surface are obtained for the linear problem of the uniform motion of a pointwise source in a fluid. The advantage of these repre sentations is that they are uniform with respect to all directions and depth. This uniformity is achieved due to singling out an additional wave going to infinity along the track of the source. In the second pa rt it is proved that the problem of the uniform motion of a submerged body is solvable for all velocities except, possibly, for a finite num ber.