  We present a class of dynamical solutions for an intersecting D4-D8 brane
system in ten-dimensional type IIA supergravity. The dynamical solutions
reduces to a static warped AdS_6 x S^4 geometry in a certain spacetime region.
We also consider lower-dimensional effective theories for the warped
compactification of general p-brane system. It is found that an effective
(p+1)-dimensional description is not possible in general due to the
entanglement of the transverse coordinates and the (p+1)-dimensional
coordinates in the metric components. Then we discuss cosmological solutions.
We find a solution that behaves like a Kasner-type cosmological solution at
$\tau\to\infty$, while it reduces to a warped static solution at $\tau\to0$,
where $\tau$ is the cosmic time.
