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On weak solution to the steady compressible flow of nematic liquid crystals
Author(s) -
Xu Qiuju,
Tan Zhong
Publication year - 2019
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.5565
Subject(s) - liquid crystal , exponent , compressibility , mathematics , bounded function , adiabatic process , domain (mathematical analysis) , flow (mathematics) , compressible flow , mechanics , condensed matter physics , mathematical analysis , thermodynamics , geometry , physics , philosophy , linguistics
In this paper, we study the three‐dimensional‐simplified Ericksen‐Leslie system for the steady compressible flow of nematic liquid crystals in a bounded domain. It is proved that the existence of a weak solution for the adiabatic exponent γ > 1 provided the initial direction field in the upper hemisphere.