Research Publications
Public mathematical and formal research by Zed James. Each preprint below has a persistent DOI and a dedicated abstract page for citation and scholarly discovery.
Navier–Stokes continuation series
A machine-checked program studying what finite-maximal periodic Navier–Stokes evolution must look like: first at the level of continuation geometry and multiscale regularity escape, then through spectral transfer and classical critical continuation controls.
Paper I · Preprint · 2026
A machine-checked H2 theory of finite-energy regularity escape.
Finite maximality is resolved into bounded kinetic energy, eventual H2 divergence, escape beyond every fixed Fourier cutoff, regularity at every fixed positive heat scale, and collapse of uniform continuation reserve.
DOI 10.5281/zenodo.22737977
Paper II · Preprint · 2026
Spectral transfer, terminal nonlinear H2 work, and simultaneous failure of nonendpoint continuation controls.
The continuation anatomy is sharpened through exact finite-annulus spectral budgets, unbounded terminal nonlinear H2 work, and simultaneous failure of the physical gradient, vorticity, and nonendpoint Prodi–Serrin continuation regimes.
DOI 10.5281/zenodo.22754458
Research identity
The DOI records above are the persistent public archive for each preprint. Author identity is linked through ORCID 0009-0000-2120-0739. These records are public preprints and should not be represented as peer-reviewed journal publications unless and until journal review is completed.