Another Millenium Problem May Have Been Solved

S3D writes "After recent verification of the proof of the Poincaré conjecture, another of the Clay Institute's Millenium Problems may have been solved. This new solution is for Navier-Stokes equations under physically reasonable conditions. Navier-Stocks equations describe the motion of fluid substances such as liquids and gases. Penny Smith has posted an Arxiv paper entitled 'Immortal Smooth Solution of the Three Space Dimensional Navier-Stokes System' which may prove the existence of such solutions."

Comments

Spell check

[MrYotsuya]

I wish that there were spell checks on whatever is submitted. "Millenium" indeed.

It's the mathematics of ....

[PermanentMarker]

it's about the mathematics of farting
hahahaha


oops (sorry)

Re:Quite impressive

[OmnipotentEntity]

IANA Expert in Fluid Dynamics; however, though an exact solution exists, this doesn't mean that it'll be easy to find even if we have a method or formula to solve it exactly.

Here's an example. Two board, one 3m and one 2m are laying crisscross in an alley, with one end in each corner of the alley, and laying the other end on the opposite wall.

Their intersection is exactly 1m from the ground, how wide is the alley?

This problem is very easy to find a numeric solution, but suprisingly difficult to find the exact solution (by hand). But we already know the method to find it, it's simple algebra.

Just because an exact solution exists doesn't mean it's pratical or it will be used, if the approximation is good enough, or much faster. As I understand it though, Fluid Dynamics is a chaotic system. So an exact solution is probably preferrable unless the calculation disparity is wide enough. Just thought I'd point out the obvious because no one else was doing it.