【摘 要】
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This paper is devoted to investigating regularity criteria for the 3-D nematic liquid crystal flows in terms of horizontal derivative components of the pressure
【机 构】
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School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P.R.China
论文部分内容阅读
This paper is devoted to investigating regularity criteria for the 3-D nematic liquid crystal flows in terms of horizontal derivative components of the pressure and gradient of the orientation field.More precisely,we mainly proved that the strong solution (u,d) can be extended beyond T,provided that the horizontal derivative components of the pressure ▽hP-=((θ)?x1P,(θ)x2P) and gradient of the orientation field satisfy ▽hP∈Ls(0,T;Lq(R3)),2/S+3/q≤ 5/2,18/13≤q≤6and▽d∈Lβ(0,T;Lγ(R3)),2/γ+3/β ≤3/4,36/7 ≤ β≤ 12.
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