This paper concerns the motion of water, initially at rest in a half space with horizontal free surface, due to the entry of an infinite wedge moving vertically downwards with constant velocity. The effects of gravity, viscosity and surface tension are neglected. This problem was formulated by Wagner in 1932 and has been the subject of many papers since then, but it seems that there has been no proof, until now, of the existence of a solution.
A recent existence theory by the authors includes an explicit solution, for the limiting case of wedge angle π, that is surprisingly simple in greatly transformed variables. Iteration yields asymptotic formulae for the motion due to wedges of angle slightly less than π these asymptotic results are presented here.