Unsolved Mysteries: The Navier-Stokes Equations and the Million Dollar Prize

[avocadogirl]

Do the navier-stokes equations inlude the seven that have not been solved and, if you successfully solve them, you get a prize of $1 Million per equation?

Thank you.

 

[humanino]

You need to satisfy one of the four statements in the prize description, basically proving whether a completely general solution exists in 3-dimensional flat or torus space (4 possibilities). I imagine you are referring to the seven problems, each of them awarded $1M. Actually, the Poincare conjecture (and much more) has been proven by Perelman but to my knowledge he was not awarded the prize, presumably because he did not publish in a peer-reviewed journal, but also possibly because he declined the Fields medal. So my guess is that only $6M remain for you.