On Bridging Analyticity and Sparseness in Hyperdissipative Navier–Stokes Systems

Summary

This paper studies three-dimensional hyperdissipative Navier–Stokes systems below the Lions threshold. Time-weighted bridge inequalities control ratios of lower- to higher-order derivatives while allowing the analyticity radius to dominate the geometric sparseness scale. Combined with harmonic-measure estimates on one-dimensional sparse sets, the construction excludes a class of finite-time blow-up scenarios under the stated assumptions.

Citation

Phiri, M. P. (2026). On Bridging Analyticity and Sparseness in Hyperdissipative Navier–Stokes Systems. Journal of Mathematical Fluid Mechanics, 28, article 75. doi:10.1007/s00021-026-01054-1.

The preprint was first submitted to arXiv in December 2025 and revised in September 2026.