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Mathematical analysis establishes a conditional spectral non-dispersal regularity criterion on the three-dimensional torus, highlighting constraints on band-limited vorticity direction.
Ring Lemma for band-limited vorticity direction, plus Spectral Non-Dispersal (SND) as a conditional regularity criterion on T^3. Unconditional SND for arbitrary large H1 data remains open. No unconditional global regularity claim.
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jonathan simons (2026) studied this question.
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