The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain
Acta Mathematica Scientia(2024)
Abstract
In this paper, we are concerned with a three-dimensional non-isothermal model for the compressible nematic liquid crystal flows in a periodic domain. Under some smallness and structural assumptions imposed on the time-periodic force, we establish the existence of the time-periodic solutions to the system by using a regularized approximation scheme and the topological degree theory. We also prove a uniqueness result via energy estimates.
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Key words
compressible nematic liquid crystals,time-periodic solution,topological degree theory,energy estimates,76A15,35Q35,35B10
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