On regularity of stationary stokes and navier-stokes equations near boundary

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Abstract

We obtain local estimates of the steady-state Stokes system "without pressure" near boundary. As an application of the local estimates, we prove the partial regularity up to the boundary for the stationary Navier-Stokes equations in a smooth domain in five dimension.

Original languageEnglish
Pages (from-to)78-101
Number of pages24
JournalJournal of Mathematical Fluid Mechanics
Volume6
Issue number1
DOIs
Publication statusPublished - 2004 Dec 1

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All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics

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