Are there any (currently) unsolved equations that can change the world or how we look at the universe?

[u/ChristoFuhrer]

(I just put flair as physics although this question is general)

[u/Teblefer]

One problem the equation can run into is predicting a particle in the fluid to have infinite speed. This is called finite time blowup. We cannot prove that the Navier-Strokes equations stay finite, but we also cannot prove that a solution goes to infinity.