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A technical note proves global regularity in band-limited Navier-Stokes equations, suggesting its importance for singularity formation.
This short technical note proves global regularity for a spectrally truncated (band-limited) version of the three-dimensional incompressible Navier–Stokes equations. The result is elementary and relies on standard energy estimates and the Bernstein inequality. The purpose of the note is pedagogical: to clarify why access to arbitrarily high frequencies is essential for potential singularity formation in the full Navier–Stokes equations.
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Łukasz Bojanowski (2026) studied this question.
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