New Delhi, Sept. 9 -- OpenAI on Tuesday said its new internal AI system has solved the 90-year-old Navier-Stokes existence and smoothness problem, one of the most difficult questions in modern mathematics. The system yielded an analytical proof that a smooth three-dimensional fluid could generate a singularity, a situation in which the fluid's velocity becomes infinite in a finite time, the company said.

The Clay Mathematics Institute announced a list of Millennium Prize problems in 2000, of which the Navier-Stokes problem is one. Each carries a $1 million prize for a valid solution. OpenAI states that it will not attempt to win the prize, but its victory must still be validated by the broader math world community.

The Navier-Stokes equ...