On a free boundary problem for the stationary Navier-Stokes equations (Q1098700)

[See also the author's article reviewed above (Zbl 0637.76026).] We investigate stationary flows in a fluid body together with its free boundary. The fluid is assumed to be viscous and incompressible; the free boundary is governed by continuity of the normal stress. Hence the configuration to be considered here can be regarded as a generalization of a classical equilibrium figure. The main tool in proving existence of a regular solution consists in a hard implicit function theorem.