Nonlinear models in applied dynamics problems of bodies with a free surface liquid (Q1326207)

We consider the dynamics of a system consisting of bodies and a free surface liquid, being under conditions of physical fields of varying nature, and under the action of vibrational and pulse loads. The mathematical model of this system is a set of nonlinear boundary value problems of mathematical physics with a free boundary, describing the dynamics of an ideal liquid with a free surface, and a system of ordinary differential equations, describing the dynamics of the solid. The approach suggested is based on applying methods of nonlinear mechanics and direct methods of mathematical physics to the variational formulation of this problem, obtained by the Hamilton-Ostrogradskij and Bateman principles.