Small Motions of an Ideal Stratiﬁed Fluid in a Basin Covered with Ice
Journal: Contemporary Mathematics Fundamental Directions
Year: 2018

We study the problem on small motions of an ideal stratiﬁed ﬂuid with a free surface partially covered with crushed ice. The crushed ice is supposed to be ponderable particles of some matter ﬂoating on the free surface. These particles do not interact with each other during oscillations of the free boundary (or this interaction is neglible) and stay on the surface during these oscillations. Using the method of orthogonal projecting of boundary-value conditions on the free surface and introducing