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The existence and smoothness problem of the Navier-Stokes equations is one of the seven Millennium Prize Problems established by the Clay Mathematics Institute in 2000, each carrying a $1 million prize.
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9/9/2026
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Verified克雷数学研究所设立的七个千禧年大奖难题每题奖金百万美元,目前仅黎曼猜想等六题仍未解决79% similarUnverifiedThe Navier-Stokes equations describe the fundamental laws governing viscous fluid motion, and the existence and smoothness of their mathematical solutions is one of the seven Millennium Prize Problems of the Clay Mathematics Institute69% similarVerifiedThe existence of smooth solutions to the Navier–Stokes equations in three-dimensional space has not yet been mathematically proven, and is one of the Millennium Prize Problems offered by the Clay Mathematics Institute.67% similarUnverifiedThe seven Millennium Prize Problems include P vs NP, the Hodge Conjecture, the Poincaré Conjecture, the Riemann Hypothesis, Yang–Mills Existence and Mass Gap, Navier–Stokes Existence and Smoothness, and the BSD Conjecture65% similarUnverifiedP=NP是Clay数学研究所悬赏100万美元的千禧年数学难题,至今未被证明64% similar
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