You stop. End of story. There's no you, and no you to know there's no you.

The remnants of your body may be there for some time, and the memory of you may exist as a meme in other people's mind for a long time, along with pointers by way of pictures, writing, and other data that is left, but that is all. You only "exist" by way of an emotive, expansive definition of the word in the minds of the living.