数学物理学报 ›› 2026, Vol. 46 ›› Issue (1): 200-214.

• 研究论文 • 上一篇    下一篇

三维可压缩液晶在有界区域上强解的整体存在性和大时间行为

皮笑寒(), 许秋菊*()   

  1. 重庆师范大学数学科学学院 重庆 401331
  • 收稿日期:2025-05-17 修回日期:2025-07-19 出版日期:2026-02-26 发布日期:2026-01-19
  • 通讯作者: 许秋菊 E-mail:1878652845@qq.com;smlynice@163.com
  • 作者简介:皮笑寒, Email: 1878652845@qq.com
  • 基金资助:
    重庆市自然科学基金(CSTB2023NSCQ-MSX0278)

Global Existence and Large Time Behavior of Strong Solutions for Three-Dimensional Compressible Liquid Crystals in a Bounded Domain

Xiaohan Pi(), Qiuju Xu*()   

  1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331
  • Received:2025-05-17 Revised:2025-07-19 Online:2026-02-26 Published:2026-01-19
  • Contact: Qiuju Xu E-mail:1878652845@qq.com;smlynice@163.com
  • Supported by:
    National Natural Science Foundation of Chongqing(CSTB2023NSCQ-MSX0278)

摘要:

该文主要研究了三维可压缩简化版 Ericksen-Leslie 系统初边值问题. 当初值在 $H^2$ Sobolev 空间小扰动时, 得到了有界区域上强解的整体存在性以及大时间行为.

关键词: 简化版 Ericksen-Leslie 系统, 有界区域, 整体存在性, 大时间行为

Abstract:

In this paper, the initial boundary value problem of a three-dimensional compressible nematic liquid crystal flows is studied. The global existence and large time behavior of a strong solution on a bounded domain is obtained when the initial value is close to a equilibrium state in $H^2$ Sobolev space.

Key words: the simplified Ericksen-Leslie system, the global existence, large time behavior, a bounded domain

中图分类号: 

  • O175.23