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

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

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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.

compressible nematic liquid crystalstime-periodic solutiontopological degree theoryenergy estimates

陈爽、郭闪闪、许秋菊

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School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China

Science and Technology Research Program of Chongqing Municipal Education CommissionScience and Technology Research Program of Chongqing Municipal Education CommissionNational Natural Science Foundation of ChinaNatural Science Foundation of ChongqingNational Natural science Foundation of ChongqingScience and Technology Research Program of Chongqing Municipal Education CommissionResearch Project of Chongqing Education Commission

KJQN202100523KJQN20200053612001074cstc2020jcyjmsxmX0606CSTB2023NSCQ-MSX0278KJZD-K202100503CXQT21014

2024

10.1007/s10473-024-0310-0

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子：0.256
ISSN：0252-9602
年,卷(期)：2024.44(3)
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