THE EXISTENCE AND UNIQUENESS OF TIME-PERIODIC SOLUTIONS TO THE NON-ISOTHERMAL MODEL FOR COMPRESSIBLE NEMATIC LIQUID CRYSTALS IN A PERIODIC DOMAIN  

作　　者：陈爽 郭闪闪 许秋菊 Shuang CHEN;Shanshan GUO;Qiuju XU(School of Mathematical Sciences,Chongqing Normal University,Chongqing,401331,China)

机构地区：[1]School of Mathematical Sciences,Chongqing Normal University,Chongqing,401331,China

出　　处：《Acta Mathematica Scientia》2024年第3期947-972,共26页数学物理学报（B辑英文版）

基　　金：partially supported by the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202100523,KJQN202000536);the National Natural Science Foundation of China(12001074);the Natural Science Foundation of Chongqing(cstc2020jcyj-msxmX0606);supported by the National Natural Science Foundation of Chongqing(CSTB2023NSCQ-MSX0278);the Science and Technology Research Program of Chongqing Municipal Education Commission(KJZD-K202100503);the Research Project of Chongqing Education Commission(CXQT21014)。

摘　　要：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.

关 键 词：compressible nematic liquid crystals time-periodic solution topological degree theory energy estimates 

分 类 号：O175[理学—数学]