TY - JOUR T1 - Remarks on the Regularity Criteria of Three-dimensional Navier-Stokes Equations in Margin Case 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 -

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 < r < 1 are considered.