Mathematician James Glimm may have solved the Poincare Conjecture (opens in new tab)

The Poincaré conjecture was solved by Grigory Perelman in 2006, this article is about James Glimm's solution of the Navier-Stokes Equation - see the paper at https://arxiv.org/pdf/2212.14734.pdf

The mathematics in this article looks not all that complex. From the little that I understand about it, it is not a direct proof that the equations are stable, but that it is based on a definition of enthropy and a stochastic argument. That argument gives good reasons to assume that the equations are smooth, but I wonder if it proofs that it is smooth in all cases. In this regard, it is interesting to note that in a recent paper [0] it was shown that Euler equations (a simpler system than the Navier-Stokes equations) might be instable.

[0] https://www.wired.com/story/a-new-computer-proof-blows-up-ce...