The problem of normal oscillations of a viscous stratified fluid with an elastic membrane
Journal: Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki
Year: 2021

Normal oscillations of a viscous stratified fluid partially filling an arbitrary vessel and bounded above by an elastic horizontal membrane are studied. In this case, we consider a scalar model problem that reflects the main features of the vector spatial problem. The characteristic equation for the eigenvalues of the model problem is obtained, the structure of the spectrum and the asymptotics of the branches of the eigenvalues are studied. Assumptions are made about the structure of the oscilla