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.

中文翻译：

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关于粘性分层流体动力学中出现的初边值问题

考虑了初始边界值问题，该问题描述了带有弹性膜的有边界血管中粘性分层流体的线性振动。我们找到了描述特定流体力学系统演化的初始边界值问题的强（关于时间变量）解决方案的充分存在条件。