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Existence of solutions to the biaxial nematic liquid crystals with two order parameter tensors
Author(s) -
Lin Junyu,
Zou Chen
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6387
Subject(s) - liquid crystal , mathematics , tensor (intrinsic definition) , order (exchange) , focus (optics) , balanced flow , flow (mathematics) , term (time) , energy (signal processing) , mathematical analysis , biaxial nematic , condensed matter physics , geometry , physics , optics , quantum mechanics , statistics , economics , finance
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.