TY - JOUR
T1 - Remarks on the Regularity Criteria of Three-dimensional Navier-Stokes Equations in Margin Case
AU - Xingwei Zhang , Wenliang Zhang  & Bo-Qing Dong 
JO - Journal of Partial Differential Equations
VL - 1
SP - 70
EP - 82
PY - 2011
DA - 2011/02
SN - 24
DO - http://doi.org/10.4208/jpde.v24.n1.5
UR - https://global-sci.org/intro/article_detail/jpde/5198.html
KW - Regularity criteria
KW - Navier-Stokes equations
KW - BMO
KW - Besov space
AB - <p>In the study of the regularity criteria for Leray weak solutions to three-dimensional Navier-Stokes equations, two sufficient conditions such that the horizontal velocity \tilde{u} satisfies \tilde{u}∈L^2(0,T;BMO(R^3)) or \tilde{u}∈ L^{2/1+r}(0,T; \dot{B}^r_{∞,∞}(R^3)) for 0 &lt; r &lt; 1 are considered.</p>