<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>A spatially localized $L \\log L$ estimate on the vorticity in the 3D NSE</dc:title>
<dc:creator>Zachary Bradshaw</dc:creator><dc:creator>Zoran Grujic</dc:creator>
<dc:subject>35</dc:subject><dc:subject>76</dc:subject><dc:subject>3D Navier-Stokes</dc:subject><dc:subject>criticality</dc:subject><dc:subject>vorticity</dc:subject>
<dc:description>The purpose of this note is to present a spatially localized $L\log L$ bound on the vorticity in the 3D Navier-Stokes equations, assuming a very mild, \emph{purely geometric} condition. This yields an extra-log decay of the distribution function of the vorticity, which in turn implies \emph{breaking the criticality} in a physically, numerically, and mathematical analysis-motivated criticality scenario based on vortex stretching and anisotropic diffusion.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2015</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2015.64.5496</dc:identifier>
<dc:source>10.1512/iumj.2015.64.5496</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 64 (2015) 433 - 440</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>