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Scaling invariant blow-up criteria for simplified versions of Ericksen-Leslie system

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  • In this paper, we establish scaling invariant blow-up criteria for a classical solution to simplified version of two and three dimensional Ericksen-Leslie system. We also consider the model replacing the Navier-Stokes equations by Stokes equations in the system and obtain blow-up criterion in three dimensions.
    Mathematics Subject Classification: Primary: 35B44, 35D30; Secondary: 76A15.

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