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- W2952164088 abstract "In this paper, we establish a blow up criterion for the short time classical solution of the nematic liquid crystal ow, a simplified version of Ericksen-Leslie system modeling the hydrodynamic evolution of nematic liquid crystals, in dimensions two and three. More precisely, $0<T_*<+infty$ is the maximal time interval iff (i) for $n=3$, $|omega|+|nabla d|^2notin L^1_tL^infty_x(mathbb R^3times [0,T_*])$, and (ii) for $n=2$, $|nabla|^2notin L^1_tL^infty_x(mathbb R^2times [0,T_*])$." @default.
- W2952164088 created "2019-06-27" @default.
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- W2952164088 date "2011-04-29" @default.
- W2952164088 modified "2023-10-16" @default.
- W2952164088 title "Blow up criterion for nematic liquid crystal flows" @default.
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- W2952164088 doi "https://doi.org/10.48550/arxiv.1104.5683" @default.
- W2952164088 hasPublicationYear "2011" @default.
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