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Finite time blowup for an averaged three-dimensional Navier-Stokes equation (2014)

40 points by gmays 2 hours ago | 17 comments

v64 2 hours ago

This is going around due to rumors and baseless speculation on Twitter [1] right now that Anthropic has solved the Millennium problem related to Navier-Stokes [2]

[1] https://x.com/AndrewCurran_/status/2096062392442724805 for example

[2] https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_existenc...

cacio-e-pepe 21 minutes ago

relevant: https://mathstodon.xyz/@tao/117219101339291693

bee_rider 58 minutes ago

For a second I thought they were aiming the scary proof machine at us mortals doing PDE stuff. Fortunately the speculation is just that they happen to be aiming it at a nearby mathematician type problem. Phew.

CSMastermind 2 hours ago

Lol as far as I know that post was the origin of that claim and it's clearly just a guy predicting something that will happen in the future with no information about it.

krackers 24 minutes ago

Elliot Glazer (FrontierMath lead) traces how it snowballed over time

https://x.com/ElliotGlazer/status/2096298696438906934

Arodex 10 minutes ago

Not reading any x.com content until xcancel and nitter are back.

sawjet 44 seconds ago

Dear diary...

perching_aix 36 seconds ago

[delayed]

bilsbie 60 minutes ago

If it is solved what are the applications of that? What changes?

margorczynski 34 minutes ago

None really. It just says if the NS equations are realistic and can really model real physics or there exist some solutions that make it blow up (infinite energy). But even if that would exist (a solution that blows up) it doesn't mean it doesn't work for 99,999999% of the stuff we're interested in.

The question is basically a pure math question about PDEs.

fatcatsbestcats 53 minutes ago

[dead]

goldenarm 2 hours ago

@dang please can we add a [2014] to the title ?

thomasahle 2 hours ago

Yes please. For a moment I thought Terrence Tao had scooped Anthropic.

tacomonstrous 2 hours ago

This is essentially irrelevant to the content of the post, but it's amusing to me that he casually mentions submitting to JAMS as if its acceptance were a mere formality.

gus_massa 20 minutes ago

He has rejected papers too https://mathstodon.xyz/@tao/113721192051328193

MeteorMarc 41 minutes ago

See https://www.quantamagazine.org/theory-of-fluids-enters-the-2... if you want to know what the Navier Stokes equations are about.

immmmmm 48 minutes ago

It’s pretty crazy what dynamics you get from NS.. until one realise they emerge from a tiny part of the solution space of Einstein equations.. which themselves emerge at the low energy limit of sth much bigger.

cacio-e-pepe 16 minutes ago

Could you expand? Curious.

amelius 53 minutes ago

Interesting to see that they are not using the coordinate-free representation (exterior calculus, differential forms) that mathematical physicists prefer to use today.