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arXiv:1411.2253 [math.AP]AbstractReferencesReviewsResources

A bounded numerical solution with a small mesh size indicates a smooth solution of the three-dimensional Navier-Stokes equations

Buyang Li

Published 2014-11-09Version 1

We prove that if the initial data is smooth enough and a finite element solution of the three-dimensional Navier-Stokes equations is bounded in a certain norm with a small mesh size, then the Navier-Stokes equations have a unique smooth solution.

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