cross-posted from: https://hexbear.net/post/9497419
The Millennium Problems are a set of the most important open problems in mathematics. so far only 2 have been solved: the Poincare Conjecture by Grigori Perelman in 2010 and today OpenAI released this https://openai.com/index/navier-stokes-solution/
The only problem is, that their AI didn't even come up with the solution itself. Mathematicians working on the same problem recently made big strides in solving the Navier Stokes equations, and their chat logs were scraped and used in training data before they could release the proof themselves.
Here is the unpaywalled statements of the Mathematician: https://mastodon.social/@tristanbuckmaster/117233413705701198
Western AI companies have been tackling a bunch of open problems and techbro chuds cannot shut up about it, this is just Marketing and the fact they have to steal real people's work to do so just proves it. They really want that IPO moneyyy
these news site really need to research or write better.
No, Navier Stokes was not "solved". We have been using numerical methods to solve these equations approximtely since forever. The exact analytical solutions that exist for special cases are also studied; most often, these are used as baseline for comparison against new theory , new experimental results and new computer simulations. So, we have been "solving" Navier Stokes.
What OpenAI manages to achieve is answering a very specific problem relate to Navier Stoke (sorry for hand waving, not a pure math major). It is something like: given an initial flow condition, does the Navier Stoke equation predict this flow field to blow up or it stays smooth for some finite time? Result: OpenAI manages to come up with a case where the solution blow up.
Mathematically, i bet some math geniuses can expand on this finding as like a "special property" of the Navier Stoke equations.
So no we are still far solving the whole equation analytically.