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

Youngwoo Koh; Minsuk Yang

doi:10.1016/j.jde.2016.05.020

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

Youngwoo Koh, Minsuk Yang

Department of Mathematics

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

10 Citations (Scopus)

Abstract

We study the possible interior singular points of suitable weak solutions to the three dimensional incompressible Navier–Stokes equations. We present an improved parabolic upper Minkowski dimension of the possible singular set, which is bounded by 95/63. The result also continue to hold for the three dimensional incompressible magnetohydrodynamic equations without any difficulty.

Original language	English
Pages (from-to)	3137-3148
Number of pages	12
Journal	Journal of Differential Equations
Volume	261
Issue number	6
DOIs	https://doi.org/10.1016/j.jde.2016.05.020
Publication status	Published - 2016 Sep 15

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2016.05.020

Cite this

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abstract = "We study the possible interior singular points of suitable weak solutions to the three dimensional incompressible Navier–Stokes equations. We present an improved parabolic upper Minkowski dimension of the possible singular set, which is bounded by 95/63. The result also continue to hold for the three dimensional incompressible magnetohydrodynamic equations without any difficulty.",

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AB - We study the possible interior singular points of suitable weak solutions to the three dimensional incompressible Navier–Stokes equations. We present an improved parabolic upper Minkowski dimension of the possible singular set, which is bounded by 95/63. The result also continue to hold for the three dimensional incompressible magnetohydrodynamic equations without any difficulty.

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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