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

Hi Jun Choe

doi:10.1016/j.jfa.2014.12.016

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

Hi Jun Choe

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 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 language	English
Pages (from-to)	2171-2187
Number of pages	17
Journal	Journal of Functional Analysis
Volume	268
Issue number	8
DOIs	https://doi.org/10.1016/j.jfa.2014.12.016
Publication status	Published - 2015 Apr 15

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Publisher Copyright:
© 2015 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2014.12.016

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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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N2 - 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.

AB - 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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DO - 10.1016/j.jfa.2014.12.016

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AN - SCOPUS:84924191372

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VL - 268

SP - 2171

EP - 2187

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 8

ER -

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

Abstract

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