Some properties of the nematic radial hedgehog in Landau-de Gennes' theory
Lamy, Xavier
Original · EN
In the Landau-de Gennes theoretical framework of a Q -tensor description of nematic liquid crystals, we consider a radial hedgehog defect with strong anchoring conditions in a ball B ⊂ R³. We show that the scalar order parameter is monotonic, and we prove uniqueness of the minimizing hedgehog below the spinodal temperature T.
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