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Existence of solutions to the biaxial nematic liquid crystals with two order parameter tensors
Journal article   Peer reviewed

Existence of solutions to the biaxial nematic liquid crystals with two order parameter tensors

Junyu Lin and Chen Zou
Mathematical methods in the applied sciences, Vol.43(10), pp.6430-6453
15/07/2020
DOI: https://doi.org/10.1002/mma.6387

Abstract

biaxial existence nematic liquid crystals two‐order parameters
The recent paper considers some mathematical problems on a tensor model with two order parameters to the biaxial nematic liquid crystals. The energy in this model contains a cubic term and is unbounded from below. We study the gradient flow generated by this energy in two dimensions. We focus on establishing global existence of classical and weak solutions.

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