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Existence of solutions to the biaxial nematic liquid crystals with two order parameter tensors
Authors:Junyu Lin  Chen Zou
Institution:Department of Mathematics, South China University of Technology, Guangzhou, 510640 Guangdong, China
Abstract: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.
Keywords:biaxial  existence  nematic liquid crystals  two-order parameters
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