Unverified50% confidenceFactExact time
In the two-dimensional case, mathematicians proved in the 1960s that solutions to the Navier-Stokes equations remain smooth forever
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Long-term
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9/11/2026
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UnverifiedIn the two-dimensional case, the global existence and smoothness of solutions to the Navier–Stokes equations were proved in the 1960s by Soviet mathematician Ladyzhenskaya and others.79% similarPartially VerifiedThe Navier-Stokes equations were independently derived in the 19th century by French engineer Claude-Louis Navier and British mathematician George Stokes.74% similarUnverified指数积分器方法源于20世纪60年代对刚性常微分方程的研究，通过精确处理线性部分、数值近似非线性部分放宽稳定性限制73% similarUnverifiedThe Navier-Stokes equations were independently derived by 19th-century French engineer Claude-Louis Navier and Irish mathematician George Gabriel Stokes.71% similarUnverifiedThe two-dimensional version of the Navier-Stokes equations has been proven to have global smooth solutions, but the three-dimensional case remains unsolved due to the vorticity stretching mechanism.69% similar
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