Volume 24, Issue 1
Remarks on the Regularity Criteria of Three-dimensional Navier-Stokes Equations in Margin Case

Xingwei Zhang , Wenliang Zhang & Bo-Qing Dong

10.4208/jpde.v24.n1.5

J. Part. Diff. Eq., 24 (2011), pp. 70-82.

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  • Abstract

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.

  • AMS Subject Headings

35Q35

Published online: 2011-02