[Gorthaur the Cruel]

I was reading the Grey Havens chapter in ROTK, and I noticed that the Phial of Galadriel was still glimmering and giving off light while Frodo's ship sailed for Valinor. How did her creation survive after the destruction of the One? Did not the lore state that all things wrought by the Three will fade should they be shorn of their powers? Yet the phial endured. Why?