The Flow of An Inhomogeneous Fluid Inside a Sphere

The research deals with the stationary flow of an inhomogeneous incompressible fluid inside a spherical vessel under influence potential mass force. Using methods four-dimensional analysis, solution to problem is constructed in explicit analytical form. Exact solutions Euler equations for homogeneous are obtained only some simplest problems. Researchers usually prove existence and uniqueness various initial - boundary value problems using priori estimation. After that, solved by numerical methods. For fluid, when unknown density variable, even obtaining estimates becomes much more complicated, not mention finding exact solutions. Nevertheless, recent years, new mathematics have been developed, giving previously approaches study nonlinear In this paper, describing ideal sphere obtained. At same time, authors demonstrate analysis.