On an Initial-Boundary Value Problem Which Arises in the Dynamics of a Viscous Stratified Fluid
Denis Olegovich Tsvetkov · Russian Mathematics · 2020
An initial-boundary value problem is considered, which describes the linear vibrations of a viscous stratified fluid in a bounded vessel with elastic membrane. We find sufficient existence conditions for a strong (with respect to the time variable) solution of the initial-boundary value problem describing the evolution of the specified hydrodynamics system.