Stationary motion of a finite fluid-mass

The paper presents a theoretical analysis of the stationary motion of a finite incompressible fluid, whose boundary is a free surface. When viscosity and the interfacial tension coefficient are both nonzero, the fluid can be described as rotating rigidly about the axis parallel to the given kinetic moment vector, while the free surface is motionless. The free surface is then defined as a closed minimal surface in the centrifugal force field that bounds the fluid. The problem considered here refers to some extent to the theory of plasma equilibrium in a magnetic field.