Is the Navier-Stokes Conjecture Finally Solved?

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Discussion Overview

The discussion centers around the recent developments regarding the Navier-Stokes equations, specifically Penny Smith's proposed proof of the existence of smooth, "immortal" solutions. The scope includes theoretical implications and the potential for significant recognition in the mathematical community, including the Clay Millennium Prize and Fields medals.

Discussion Character

  • Debate/contested, Exploratory, Technical explanation

Main Points Raised

  • Some participants express surprise that there has been little discussion about Penny Smith's proposed proof of the Navier-Stokes equations, suggesting it could lead to a major prize if validated.
  • There are references to previous discussions on the topic, indicating that this is not the first time the conjecture has been addressed in the forum.
  • One participant notes that Smith retracted her proof after discovering a mistake, raising concerns about the validity of her claims.
  • Another participant hopes that the retraction does not signify a fundamental flaw in her approach, as suggested on her website.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are conflicting views regarding the validity of Smith's proof and the implications of its retraction.

Contextual Notes

The discussion reflects uncertainty regarding the status of Smith's proof and its implications for the Navier-Stokes conjecture, as well as the potential for merging threads on the topic.

selfAdjoint
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I am surprised that nobody has posted yet of the hottest hews in PDE's, Penny Smith's proposed proof that smooth, "immortal" solutions of the N-S equations exist. If it pans out, this will collect one of the famous Clay Millennium Prizes, a cool million. Smith says that unlike Perelman, she'd take it. She would also be a shoo-in for one of the Fields medals to be given four years from now.

See Woit, and especially this
comment by Brooks Moses to the Woit post.
 
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No. As a Mentor, shouldn't you be able to merge the two? As I said in that thread, I chose the most general category applicable. If you feel that it best suits the DE forum, then please do merge it with this one. :)
 
She retracted it after finding a mistake.
 
mtiano said:
She retracted it after finding a mistake.

Let's hope that, as she implies on her website, it's not a killer.
 

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