Initial-boundary value problem for the equations of dynamics of a rotating viscous stratified fluid
Journal: Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki
Year: 2023

We study the problem of small motions of a viscous stratified fluid partially filling a container that uniformly rotates around an axis co-directed by gravity. The problem is studied on the basis of an approach related to the application of the so-called operator matrix theory. To this end, we introduce Hilbert spaces and some their subspaces, as well as auxiliary boundary value problems. The original initial-boundary value problem is reduced to the Cauchy problem for a first-order differential