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A certain necessary condition of potential blow up for Navier-Stokes equations

Analysis of PDEs 2015-05-27 v1
Authors: G. Seregin
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Abstract

We show that a necessary condition for TT to be a potential blow up time is lim⁡t↑T∥v(⋅,t)∥L3=∞\lim\limits_{t\uparrow T}\|v(\cdot,t)\|_{L_3}=\infty.

Keywords

Navier-Stokes equations potential blow up necessary condition L3 norm incompressible fluid

Cite

@article{arxiv.1104.3615,
  title  = {A certain necessary condition of potential blow up for Navier-Stokes equations},
  author = {G. Seregin},
  journal= {arXiv preprint arXiv:1104.3615},
  year   = {2015}
}

Comments

16 pages

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