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Remark on the regularity criteria via partial components of vorticity to the Navier‐Stokes equations
Author(s) -
Ye Zhuan
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5185
Subject(s) - mathematics , vorticity , navier–stokes equations , partial differential equation , extension (predicate logic) , compressibility , mathematical analysis , vortex , mechanics , physics , computer science , programming language
In this paper, we establish several improved regularity criteria via partial components of vorticity to the incompressible Navier‐Stokes equations in higher dimensions. Our result is a further improvement of the recent result given by Tsurumi [extension criterion via partial components of vorticity on strong solutions to the Navier‐Stokes equations in higher dimensions, J. Differential Equations 263 (2017), 4007‐4022].