Is the Navier-Stokes Conjecture Finally Solved?

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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.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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