Remark on the regularity criteria via partial components of vorticity to the Navier‐Stokes equations | Zendy

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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].

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