The transformation of a creeping wave coming to the point of the junct
ion of convex and plane parts of the surface is examined. The asymptot
ics in a vicinity of the junction is constructed in the leading approx
imation. The solution is given by the integral containing Airy functio
n. The numerical results for that integral are presented. The results
show the transition between a creeping wave like behaviour and a diver
ging wave behaviour.