An anisotropic regularity criterion for the 3d navier-stokes equations
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第一作者:Jia, X.
发表时间:2013-01-01
发表刊物:Communications on pure and applied analysis
所属单位:数理与信息工程学院
文献类型:期刊
期号:No.3
ISSN号:1534-0392
关键字:Anisotropic;regularity;criterion;Navier-Stokes;equations
摘要:In this paper, we establish an anisotropic regularity criterion for the 3D incompressible Navier-Stokes equations. It is proved that a weak solution u is regular on [0, T], provided ?u_3/?x_3 ∈ Lt_1 (0, T; Ls_1 (R~3)), with 2/t _1+3/s_1 ≤ 2, s_1 ∈ (3/2, +
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