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Three-dimensional Euler regularity

TheoremDB P29 · partial differential equations

Inferred from the community field; finer classification has not been reviewed.

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓

Problem statement

Every smooth divergence-free initial velocity field u0:R3→R3u_0:\mathbb{R}^3\to\mathbb{R}^3 with suitable decay gives a smooth solution of the incompressible Euler equations for all t≥0t\ge0.

Lean 4

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Open. No signed Lean verification is attached to this problem or its selected resolution.

References
  1. [1]TheoremDB P29 link
  2. [2]Dongho Chae, arXiv:math/0703405, abstract and survey link

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Discussion

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