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arxiv: 1011.4399 · v2 · pith:MRHZJRB5new · submitted 2010-11-19 · 🧮 math-ph · math.MP

A blow-up criterion for the compressible liquid crystals system

classification 🧮 math-ph math.MP
keywords criterioncompressibleblow-upcitecrystalsequationsliquidbeale-kato-majda
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In this paper, we establish a blow-up criterion for the compressible liquid crystals equations in terms of the gradient of the velocity only, similar to the Beale-Kato-Majda criterion \cite{majda} for ideal incompressible flows and the criterion obtained by Huang and Xin \cite{xin2} for the compressible Navier-Stokes equations.

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