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Old 10-06-2006, 12:50 AM
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Quote:
Originally Posted by ThePerfectHacker View Post
I know absolutely nothing about it (though heard of it). Thus, I might be completly off. But it makes no sense to say he proved existence of solution. Because Differencial equation always have solutions on continous open intervals.
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Does Wikipedia mention it?
If not, it is probably wrong.
Like I said, people love to make false proves on website based on no understanding at all.
The introduction to the paper in the original link claims that the existance for solutions in 3-D hadn't been proven. The Navier-Stokes equation is a 3-D non-linear system of equations (one for each coordinate). Being non-linear I don't know if a solution has to exist. Obviously approximate and/or local solutions exist else fluid dynamics never would have been developed.

-Dan
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