Navier-Stokes Proof Notes

In-progress notes on a geometric approach and Lean 4 formalization

These notes are not yet ready for publication.

Like a smooth solution to the Navier-Stokes equations,
we can't yet prove this exists for all time.

In the meantime, explore existing approaches or learn why the problem is so hard.

Check back soon — we're closing in on the last few sorrys.

$$\text{Proof} \in L^\infty_t(\texttt{navier-stokes.org})$$

remains an open conjecture.

We have existence but not yet regularity of this page.
The solution is known to blow up in a finite number of sorry leaves.

$\square$ will appear here when $\texttt{lake build}$ returns $0$ axioms on the CMI path.