The Minkowski dimension of boundary singular points in the Navier–Stokes equations

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Abstract

We study the partial regularity problem of the three-dimensional incompressible Navier–Stokes equations. We present a new boundary regularity criterion for boundary suitable weak solutions. As an application, a bound for the parabolic Minkowski dimension of possible singular points on the boundary is obtained.

Original languageEnglish
Pages (from-to)4705-4718
Number of pages14
JournalJournal of Differential Equations
Volume267
Issue number8
DOIs
Publication statusPublished - 2019 Oct 5

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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