For anisotropic elasticity -3/2<L<0, the Landau-de Gennes flow converges rigorously to a sharp interface moving by mean curvature with the director satisfying harmonic-map-type dynamics and strong anchoring.
M., Zarnescu, A.: Orientable and non-orientable line field models for uniaxial nematic liquid crystals
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On the asymptotic limit for the dynamic isotropic-nematic phase transition with anisotropic elasticity
For anisotropic elasticity -3/2<L<0, the Landau-de Gennes flow converges rigorously to a sharp interface moving by mean curvature with the director satisfying harmonic-map-type dynamics and strong anchoring.