Stability of a two-layer system of inhomogeneous heavy barotropic fluidsстатья
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Дата последнего поиска статьи во внешних источниках: 1 апреля 2018 г.
Аннотация:Basing on the static energy criterion for a bounded domain of an arbitrary shape and with regard for theboundary conditions at all parts of the boundary, the stability of a two-layer system of inhomogeneousbarotropic fluids in the uniform gravity field is studied for arbitrary distributions of their densities andelastic properties over depth. Almost coinciding with each other (up to the strictness of one of the twoinequalities), equally valid for an arbitrary number of layers, the necessary and sufficient conditions forstability are obtained, that represents a new exhaustive result for the problem considered. Additionally(with compressibility admitted) possible influence of viscosity (which may be anisotropic), and also thecase when the layers consist of solid elastic materials, are considered. In the case of instability, the lowerestimates for the greatest rate of disturbances growth are obtained.