TY - JOUR
T1 - The Minkowski dimension of interior singular points in the incompressible Navier–Stokes equations
AU - Koh, Youngwoo
AU - Yang, Minsuk
N1 - Publisher Copyright:
© 2016 Elsevier Inc.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2016/9/15
Y1 - 2016/9/15
N2 - 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.
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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U2 - 10.1016/j.jde.2016.05.020
DO - 10.1016/j.jde.2016.05.020
M3 - Article
AN - SCOPUS:84969277891
VL - 261
SP - 3137
EP - 3148
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 6
ER -