周期域中可压缩向列液晶非等温模型时周期解的存在性和唯一性

IF 1.2 4区数学 Q1 MATHEMATICS

Acta Mathematica Scientia Pub Date : 2024-02-14 DOI:10.1007/s10473-024-0310-0

Shuang Chen, Shanshan Guo, Qiuju Xu

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引用次数: 0

摘要

本文关注周期域中可压缩向列液晶流的三维非等温模型。在对时间周期力施加的一些微小性和结构性假设下，我们利用正则化近似方案和拓扑度理论建立了系统的时间周期解的存在性。我们还通过能量估计证明了唯一性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain

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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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.