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