Computer-assisted global regularity across nonlinear families of three-dimensional periodic Navier-Stokes flows
Numerical simulations reveal how vortices stretch and transfer energy, but establishing smooth evolution requires bounds that remain valid beyond the simulated resolution. Here I develop a computer-assisted framework that establishes global regularity for continuous families of three-dimensional periodic Navier-Stokes flows. Its central construction combines finite reference trajectories with a common error bound that covers an interval of centre fields and infinitely many smooth perturbation modes. The method retains the complete nonlinear residual before spectral truncation and controls the evolution until viscous decay guarantees regularity for all subsequent times. Applications to cyc...
| Authors | Jose Luis Lima de Jesus Silva |
|---|---|
| Primary category | physics.flu-dyn |
| Published | 14 September 2026 |
| Last updated at source | 14 September 2026 |
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