A Beale--Kato--Majda criterion for the 3-D Compressible Nematic Liquid Crystal Flows with Vacuum
作者： Shangbin Cui , Qiao Liu
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摘要: In this paper, we prove a Beale--Kato--Majda blow-up criterion in terms of the gradient velocity only for strong solution to 3-D compressible nematic liquid crystal flows with nonnegative initial densities. More precisely, exists globally if $L^{1}(0,T;L^{\infty})$-norm $u$ is bounded. Our improves recent result X. Liu and L. (\cite{LL}, A crystals system, arXiv:1011.4399v2 [math-ph] 23 Nov. 2010).
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