Unverified50% confidenceFactExact time
Only in about the past 15 years has the mathematics community begun seriously searching for counterexamples to the Navier-Stokes equations.
1
Sources
50%
Confidence
Long-term
Relevance
10/30/2026
First Seen
Sources
Related Entities
Related Claims
UnverifiedSince the Navier–Stokes equations were proposed in the 19th century, the existence and smoothness of their solutions has remained unproven.69% similarUnverifiedIn the two-dimensional case, mathematicians proved in the 1960s that solutions to the Navier-Stokes equations remain smooth forever67% similarVerifiedThe Navier-Stokes equations were independently derived in the 19th century by French engineer Claude-Louis Navier and British mathematician George Stokes.64% similarUnverifiedAny proof method that relies solely on abstract properties such as energy conservation and scaling analysis cannot prove the global regularity of the Navier-Stokes equation, because the averaged equation satisfies these properties yet still blows up.64% 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.63% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/1113719API
curl https://kongchang.com/api/v1/knowledge/claims/1113719MCP
get_claim(id=1113719)