Unverified50% confidenceFactExact time
When viscosity is removed, the Navier-Stokes equations become the Euler equations.
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50%
Confidence
Long-term
Relevance
9/11/2026
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Related Claims
UnverifiedThe 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.73% 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 Institute67% similarUnverifiedThe Navier-Stokes equations were independently derived in the 19th century by French engineer Claude-Louis Navier and British mathematician George Stokes.61% similarUnverifiedThe core question of the Navier-Stokes Millennium Prize Problem is: given smooth initial conditions in three-dimensional space, does the equation always have a global smooth solution?60% similarUnverifiedThe academic team produced results on the Euler equations with a smooth external force, while OpenAI claims to have produced results on the Euler equations without external force as well as results on the Navier-Stokes equations with a smooth external force.59% similar
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