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Existence of Smooth Solutions to Navier-Stokes

Update (10.10.06): The paper has been “withdrawn by the author due a serious flaw”.

The big math news is that Penny Smith of Lehigh University appears to have proved the existence of smooth solutions to the Navier-Stokes equations. This is one of the ten Millenium Problems for which the Clay Mathematics Institute is offering a million-dollar prize. Brooks Moses has written a very illuminating non-technical explanation of Dr. Smith’s work. If it turns out that the proof is correct, then everyone working in fluid mechanics will be able to sleep a bit better at night; Penny, however, might have to change her name. :)

(On a non-mathematical note, I observe that Brooks Moses and I are both using the Ocadia theme for Wordpress. It’s a beautiful theme, but I’m feeling very generic. Sometimes I wish I had artistic ability.)

This entry was posted 2006-Oct-7 and is filed under Mathematics. You can leave a response, or trackback from your own site.

3 Responses to “Existence of Smooth Solutions to Navier-Stokes”

  1. 2006-Oct-7
    Brooks Moses Says:

    Thanks for the link!

    (And, yeah, I feel a bit generic about using the Ocadia theme, too. I only meant to use it for a short while until I made something more unique, and here it is half a year later and I still haven’t gotten around to it!)

  2. 2006-Oct-10
    A Winter’s Tale… » Navier-Stokes Update Says:

    [...] [Update to the news item which I posted earlier.] [...]

  3. 2007-Jul-21
    Black Says:

    Black…

    In few years we will see a result…

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