Several almost critical regularity conditions based on one component of the solutions for 3D N-S Equations

Abstract

In this article, we establish several almost critical regularity conditions such that the weak solutions of the 3D Navier-Stokes equations become regular, based on one component of the solutions, say $u_3$ and ${\partial }_3{u}_3$.

18pages, 1figre. arXiv admin note: text overlap with arXiv:1210.3857; and text overlap with arXiv:1005.4463 by other authors

References in corpus (1)

• Some new regularity criteria for the 3D Navier-Stokes Equations

Cited by in corpus (3)

• Sharp one component regularity for Navier-Stokes
• Regularity of 3D axisymmetric Navier-Stokes equations
• Muliti-scale regularity of axisymmetric Navier-Stokes equations