Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (1): 200-214.

• Original article • Previous Articles     Next Articles

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)

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

CLC Number: 

  • O175.23
Trendmd