Stationary surface waves on a circular liquid layer with constant gravity

Abstract

The main goal of this paper is to consider a motion of a perfect fluid which has a free boundary and has a solid bottom represented by a circle. In this paper bifurcation branches emanating from trivial solution are found. To this end the method of conformal mapping is used. By this device the free boundary problem is transformed into a boundary value problem in a fixed domain.

Quaestiones Mathematicae 23(2000), 1–12