There is an emission tail, meaning it will level off at some point. What point remains a mystery because the team havent released the graph showing the curve.
My best guess is it will continue droppig and a noticeable tail will form around 3000 etn per block. But that is just a shot in the dark.
The blockchain will last for many many years, it wo t keep dropping like it currently is and hit 0 within 40yrs maybe more.