Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616206 | Journal of Mathematical Analysis and Applications | 2014 | 8 Pages |
Abstract
In this paper, we consider the regularity criterion for weak solutions to the 3D Navier–Stokes equations. We show that if ∇u3∇u3 belongs to some multiplier spaces, then the solution actually is smooth on (0,T)(0,T). In particular, we have the regularity condition in the BMO spaces: ∇u3∈L43(0,T;BMO), which improves previous results.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zujin Zhang,