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- W2000383775 abstract "In this paper we derive LPS's criterion for the breakdown of classical solutions to the incompressible nematic liquid crystal flow, a simplified version of Ericksen-Leslie system modeling the hydrodynamic evolution of nematic liquid crystals in $mathbb R^3$. We show that if $0<T<+infty$} is the maximal time interval for the unique smooth solution $uin C^infty([0,T),mathbb R^3)$, then $|u|+|nabla d|notin L^q([0,T],L^p(mathbb R^3))$, where $p$ and $q$ safisfy the Ladyzhenskaya-Prodi-Serrin's condition: $frac{3}{p}+frac{2}{q}=1$ and $pin(3,+infty]$" @default.
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- W2000383775 date "2012-11-24" @default.
- W2000383775 modified "2023-10-16" @default.
- W2000383775 title "LPS's Criterion for Incompressible Nematic Liquid Crystal Flows" @default.
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- W2000383775 doi "https://doi.org/10.48550/arxiv.1211.5682" @default.
- W2000383775 hasPublicationYear "2012" @default.
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