| Abstract: | The stability of the free surface of a superfluid in a variable gravitational field is considered in the framework of two-fluid hydrodynamics. The problem is posed in the linear formulation by the Laplace transformation method. For the displacement of the surface from the equilibrium position an integro-differential equation is obtained with periodic coefficients; its solution is sought by the method of averaging [6]. It is shown that the excitation has a threshold nature. Estimates are obtained for the excitation threshold.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti Gaza, No. 4, pp. 148–151, July–August, 1979.I should like to thank N. A. Leontovich, who drew my attention to this problem, G. Z. Gershuni and E. M. Zhukhovitskii for discussing the results, and V. A. Briskman for constant interest and support. |
