| Abstract: | Equilibrium shapes of a liquid, situated on the outer or inner surface of a rigid cylinder and rotating together with it as a solid body, are studied. We determine the principal part of the solution of the equilibrium equation for small deviations of the determining parameter from the critical value. The bifurcation of rotationally symmetric motions with a free boundary in a body force field is also investigated.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 127–134, March–April, 1973.The authors thank V. Kh. Izakson for his discussion of the work. |
