  D-dimensional cosmological model describing the evolution of a multicomponent
perfect fluid with variable barotropic parameters in n Ricci-flat spaces is
investigated. The equations of motion are integrated for the case, when each
component possesses an isotropic pressure with respect to all spaces. Exact
solutions are presented in the Kasner-like form. Some explicit examples are
given: 4-dimensional model with an isotropic accelerated expansion at late
times and (4+d)-dimensional model describing a compactification of extra
dimensions.
