It is not yet known whether or not the Euler and Navier–Stokes equations exhibit the analogous behavior of initially smooth solutions "blowing up" in finite time. The question of existence and smoothness of Navier–Stokes solutions is one of the Millennium Prize Problems.
It is not yet known whether or not the Euler and !Navier–Stokes equations exhibit the analogous behavior of: initially smooth solutions "blowing up" in finite time. The question of existence and smoothness of Navier–Stokes solution!s is one of !the Millennium Prize Problems.