BLOW-UP CRITERION OF CLASSICAL SOLUTIONS FOR THE INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS

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作者
高真圣 [1 ]
谭忠 [2 ]
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[1] School of Mathematical Sciences,Huaqiao University
[2] School of Mathematical Sciences,Xiamen
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In this paper,we consider the short time classical solution to a simplified hydrodynamic flow modeling incompressible,nematic liquid crystal materials in R3. We establish a criterion for possible breakdown of such solutions at a finite time. More precisely,if(u,d)is smooth up to time T provided that ∫0T||▽×u(t,·)||BMO(R3)+||▽d(t,·)||L4(R3)8dt<∞.
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页数:7
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