Navier–Stokes problem apparently settled, Clay Institute says
The Clay Mathematics Institute says the Millennium Prize problem may have been resolved, but the work must still pass its established review process.
The Clay Mathematics Institute says the long-running Millennium Prize problem on the existence and smoothness of Navier–Stokes solutions in three-dimensional Euclidean space has apparently been settled.
The institute said the result remains subject to its established evaluation process, which it described as deliberately unhurried. CMI said it would provide updates as the assessment proceeds.
The Navier–Stokes question concerns whether suitable three-dimensional solutions exist and remain smooth. It is one of seven Millennium Prize Problems unveiled by CMI in 2000 to highlight major unresolved challenges at the frontier of mathematics.
Each problem carries a US$1 million prize under CMI’s rules. The available announcement does not identify the authors, provide details of the proof or establish whether the work qualifies for the prize.
CMI said recent advances in related areas had increased anticipation that the problem might be resolved, while new technologies had accelerated mathematical research. The institute has not, however, declared the problem definitively solved.
