<p>We give a new proof of the regularity criterion of Kozono and Shimada for <i>n</i>-dimensional Navier–Stokes system based on a simple combination of interpolation inequalities on Besov spaces.</p>

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A new proof of a regularity criterion for Navier–Stokes system

  • Jishan Fan,
  • Tohru Ozawa

摘要

We give a new proof of the regularity criterion of Kozono and Shimada for n-dimensional Navier–Stokes system based on a simple combination of interpolation inequalities on Besov spaces.