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Large‐time behavior of solutions to a 1 D liquid crystal system
Author(s) -
Qin Yuming,
Feng Baowei
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.4514
Subject(s) - liquid crystal , infinity , compressibility , flow (mathematics) , mathematics , coupling (piping) , harmonic map , mechanics , mathematical analysis , geometry , physics , mechanical engineering , condensed matter physics , engineering
In this paper, we prove the large‐time behavior, as time tends to infinity, of solutions in H i × H 0 i × H i + 1 ( i = 1 , 2 ) and H 4 × H 0 4 × H 4 for a system modeling the nematic liquid crystal flow, which consists of a subsystem of the compressible Navier‐Stokes equations coupling with a subsystem including a heat flow equation for harmonic maps.
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