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

Published 28 November 2012 • © 2013 IOP Publishing Ltd & London Mathematical Society
, , Citation Z Grujić 2013 Nonlinearity 26 289 DOI 10.1088/0951-7715/26/1/289

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1 Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA

Dates

  1. Received 17 May 2012
  2. Published

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0951-7715/26/1/289

Abstract

A local anisotropic geometric measure-type condition on the super-level sets of solutions to the 3D NSE preventing the formation of a 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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10.1088/0951-7715/26/1/289