Papers · Preprint
Navier-Stokes as a Layer-Dissolving Membrane Theorem
A conditional route to smooth fluid flow forever, with every assumption named.
In plain words
Does a smooth three dimensional fluid stay smooth for all time? This paper applies the residual calculus and the needle killer result to that question.
It fixes a standard blow up criterion as the dissolving readout, tracks a residual through doubling stages, and rules out several shortcut routes. A window on the analytic radius isolates the hard endpoint. A transport map restores propagation past it.
Under a bundle of nine closure records, every smooth enough starting flow lives forever. The same records are then read as an audited carrier in the AOR sense.
What it shows
- A residual ledger that propagates along the standard doubling stages.
- A no go family for packing, sparseness and shadow shortcuts.
- Global existence under the stated closure bundle.
What it does not claim
No unconditional Clay claim. Regularity is not claimed independently of the audit records.
Cite
Tsiokos, I. (2026). Navier-Stokes as a Layer-Dissolving Membrane Theorem. Zenodo. https://doi.org/10.5281/zenodo.20713701