Boundary regularity of suitable weak solution for the Navier-Stokes equations

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study Hausdorff dimension of boundary singular set for suitable weak solutions of the incompressible Navier-Stokes equations. Like [2] for suitable weak solution in the interior, logarithmic improvement of Hausdorff dimension is proved. The pressure estimate of the inhomogeneous Stokes equations by Green potential due to Solonnikov [5] is important.

Original languageEnglish
Pages (from-to)2171-2187
Number of pages17
JournalJournal of Functional Analysis
Volume268
Issue number8
DOIs
Publication statusPublished - 2015 Apr 15

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Suitable Weak Solutions
Boundary Regularity
Hausdorff Dimension
Navier-Stokes Equations
Singular Set
Stokes Equations
Incompressible Navier-Stokes Equations
Logarithmic
Interior
Estimate

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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title = "Boundary regularity of suitable weak solution for the Navier-Stokes equations",
abstract = "We study Hausdorff dimension of boundary singular set for suitable weak solutions of the incompressible Navier-Stokes equations. Like [2] for suitable weak solution in the interior, logarithmic improvement of Hausdorff dimension is proved. The pressure estimate of the inhomogeneous Stokes equations by Green potential due to Solonnikov [5] is important.",
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Boundary regularity of suitable weak solution for the Navier-Stokes equations. / Choe, Hi Jun.

In: Journal of Functional Analysis, Vol. 268, No. 8, 15.04.2015, p. 2171-2187.

Research output: Contribution to journalArticle

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