Clay Mathematics Institute says the Navier-Stokes Millennium Prize Problem has "apparently been settled"
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The Clay Mathematics Institute has officially weighed in on the Navier-Stokes problem, one of seven Millennium Prize Problems announced in Paris in 2000, each worth $1 million. The problem asks whether the equations governing fluid motion in three-dimensional space always have a smooth, complete solution. The CMI said the Navier-Stokes problem has "apparently been settled" and expressed hope to see waves of new human understanding unleashed as the innovations behind the work are analyzed and interrogated. The solution is now under review, and the institute said the process is deliberately unhurried but that it will provide updates. It also noted that the increasing ability of new technologies to accelerate mathematical research has heightened the sense of anticipation. The potential solution comes with a bitter dispute: mathematician Tristan Buckmaster accuses OpenAI of redirecting resources toward the problem after rumors about his research leaked, using his drafts in training data, and rejecting his co-author Levent Alpöge, who works at Anthropic, from authorship.
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