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 |
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Pages (from-to) | 3137-3148 |
Number of pages | 12 |
Journal | Journal of Differential Equations |
Volume | 261 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2016 Sep 15 |
Bibliographical note
Publisher Copyright:© 2016 Elsevier Inc.
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics