title: On one boundary-value problem related to internal flotation
abstract: We study the problem of small motions of a system of immiscible ideal fluids with a free surface consisting of two domains: a domain of elastic ice and a domain of crushed ice. Elastic ice is modeled by an elastic plate. By crushed ice we mean weighty particles of some substance floating on the free surface. We also assume that the interface between the fluid layers is a weighty surface. Using the method of orthogonal projection of boundary conditions and the introduction of auxiliary problems, 
journal: Contemporary Mathematics Fundamental Directions