Dynamic Interpolation and Higher-Order Turbulence Scales in 3D Navier–Stokes Flows
Moses Patson Phiri and Zoran Grujić
arXiv preprint, 2026
Summary
We study three-dimensional unforced Navier–Stokes flows using time-weighted inequalities between lower- and higher-order derivative norms. Interpreting derivative ratios as turbulence scales, we compare the radius of spatial analyticity with geometric sparseness scales. Under the paper’s hypotheses, harmonic-measure estimates yield a contraction that excludes a class of strongly turbulent blow-up scenarios and allows analytic continuation beyond the candidate singular time.
Citation
Phiri, M. P., and Grujić, Z. (2026). Dynamic Interpolation and Higher-Order Turbulence Scales in 3D Navier–Stokes Flows. arXiv:2610.33911. doi:10.48550/arXiv.2610.33911.