Small motions of ideal stratified liquid with a free surface totally covered by a crumbled ice
Journal: Ufimskii Matematicheskii Zhurnal
Year: 2018

Let a rigid immovable vessel be partially filled with an ideal incompressible stratified fluid. We assume that in an equilibrium state the density of a fluid is a function of the vertical variable 3 , i.e., 0 = 0 ( 3 ). In this case the gravity field with constant acceleration = - 3 acts on the fluid, here > 0 and 3 is unit vector of the vertical axis 3 , which is directed opposite to . Let be the domain filled with a fluid in equilibrium state, be rigid wall of the vessel adherent to the fluid,