Unverified60% confidenceFactExact time
Buckmaster and Vlad Vicol proved the non-uniqueness of weak solutions to the Navier-Stokes equations based on the Convex Integration technique.
2
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60%
Confidence
Long-term
Relevance
9/10/2026
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Related Claims
UnverifiedTristan Buckmaster and Vlad Vicol have published research in recent years exploring the non-uniqueness and instability of solutions in the Euler equations and Navier-Stokes equations.77% similarUnverifiedMathematicians including Tristan Buckmaster have made breakthrough progress on the non-uniqueness of solutions to the Euler equations, constructing weak solutions using techniques such as convex integration.71% similarUnverifiedBuckmaster and Vicol successfully constructed weak solutions to the Euler equations that do not satisfy the energy equality, addressing the critical case of Onsager's conjecture.70% similarUnverifiedTerence Tao rigorously proved that solutions to the averaged version of the three-dimensional Navier-Stokes equation blow up in finite time.59% similarUnverifiedLimit cycles are one of the typical attractors of two-dimensional nonlinear systems described by the Poincaré–Bendixson theorem.59% similar
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