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Time‐periodic solution to the compressible nematic liquid crystal flows in periodic domain
Author(s) -
Yang Ying,
Tao Qiang
Publication year - 2017
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.4592
Subject(s) - liquid crystal , uniqueness , mathematics , compressibility , mathematical analysis , regularization (linguistics) , domain (mathematical analysis) , flow (mathematics) , mechanics , geometry , physics , condensed matter physics , artificial intelligence , computer science
In this paper, we consider the time‐periodic solution to a simplified version of Ericksen‐Leslie equations modeling the compressible hydrodynamic flow of nematic liquid crystals with a time‐periodic external force in a periodic domain in R N . By using an approach of parabolic regularization and combining with the topology degree theory, we establish the existence of the time‐periodic solution to the model under some smallness and symmetry assumptions on the external force. Then, we give the uniqueness of the periodic solution of this model.