The Clay Institute wants a proof that an initially smooth flowing fluid stays free of turbulence in the long run.
Can the NavierStokes equations, which describe a fluid that initially has no turbulence in it, be equivalent to a set of equations describing vortices,
with the vortices cancelling each other out.If so, then could the problem be reduced to that of some vortices which are initially perturbed slightly, so they don't cancel,but which evolve in such a way that at a later time they do cancel out one another's effects?
