A geometric measure-type regularity criterion for solutions to the 3D Navier-Stokes equations

preprint2012arXivOpen access

Abstract

A local anisotropic geometric measure-type condition on the super-level sets of solutions to the 3D NSE preventing the formation of finite-time singularity is presented; essentially, local one-dimensional sparseness of the regions of intense fluid activity in a very weak sense.

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