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A H\"older estimate for the trajectories of the Navier-Stokes equations

math.AP · 2026-05-21 · unverdicted · novelty 5.0

Proves viscosity-independent bounds on the space-time Hölder norm of Navier-Stokes solutions and the Hölder regularity of trajectories, controlled by the spatial Hölder norm for times bounded away from zero by a power of viscosity.

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