Малые движения вязкой стратифицированной жидкости во вращающемся сосуде

The problem on small motions of a viscous fluid, which density in a equilibrium slate has stable stratification is investigated on base of a new арproach connected with application of so-called operator matrices theory with unbounded entries. Initial boundary value problem is reduced to the Cauchy problem $\frac{dy}{dt} + \mathcal{A} y + Sy = f(t), y(0) = y^0$, in some Hilbert space. The theorem on strong solvability of initial boundary value problem was proved by using the fact that operator $\mathcal{A}$ is maximal uniformly accretive.