Ye, Zhuan Remarks on the regularity criterion to the 3D Navier-Stokes equations via one velocity component. (English) Zbl 1389.35108 Differ. Integral Equ. 29, No. 9-10, 957-976 (2016). Summary: In this paper, we study the classical three-dimensional (3D) incompressible Navier-Stokes equations. The main goal of the present paper is to establish the regularity criterion to the 3D Navier-Stokes equations via one velocity component. Cited in 1 Document MSC: 35B65 Smoothness and regularity of solutions to PDEs 35Q30 Navier-Stokes equations 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids Keywords:global weak solution; magnetohydrodynamics equation; regularity PDF BibTeX XML Cite \textit{Z. Ye}, Differ. Integral Equ. 29, No. 9--10, 957--976 (2016; Zbl 1389.35108)