  Recently the formation of an expanding universe from the (1+3+6)-dimensional
space-times has been proposed on the basis of super-string theory. The serious
entropy problem must be solved for it to be realistic from the cosmological
viewpoint. It is discussed here, taking account of the large dissipation due to
the viscous motion between the collapsing inner space and the inflating outer
space. It is shown that the large dissipation may be effective for the vast
production of 3-dimensional entropy S_3 within the horizon, and that there are
epochs when S_3 reaches the critical value 10^88 in the Guth level and at the
same time the outer space is decoupled from the inner space.
