I will review brane-world dynamics in two different approaches, considering the late time behavior and the very early stages of the brane-worlds. I will emphasize the geometrical aspects of the localization of gravity in those epochs. I will then turn to the more generalized case of the motion of brane-worlds in a non-static bulk. Analyzing the thermodynamical properties of this brane-world, I will show that during an inflationary phase on the brane, black holes will tend to be thermally nucleated in the bulk. It turns out the best way to describe the gravitational collapse of a spherically symmetric null dust fluid in AdS spacetime is through Vaidya-AdS metric. The late time behavior of this Brane-Bulk Blackhole system and its early-universe cosmology will be discussed at the end.