Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Wu, Guochun¹  Tan, Zhong² 

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

关键词: Global existence;    Weak solution;    Large-time behavior;    Liquid crystals;   

DOI  :  10.1016/j.jde.2018.01.045

来源: Elsevier

【 摘 要 】

In this paper, we consider the weak solution of the simplified Ericksen Leslie system modeling compressible nematic liquid crystal flows in R-3. When the initial data are of small energy and initial density is positive and essentially bounded, we prove the existence of a global weak solution in R3. The large-time behavior of a global weak solution is also established. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free