Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows
文献类型：期刊论文
| 作者 | Liu, Qiao1,2; Liu, Shengquan2; Tan, Wenke1,3; Zhong, Xin3 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2016-12-05 |
| 卷号 | 261期号:11页码:6521-6569 |
| 关键词 | Nonhomogeneous incompressible nematic liquid crystal flow Strong solutions Vacuum Temporal decay |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2016.08.044 |
| 英文摘要 | This paper concerns the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible nematic liquid crystal flows on the whole space R-2 with vacuum as far field density. It is proved that the 2D nonhomogeneous incompressible nematic liquid crystal flows admit a unique global strong solution provided that the initial data density and the gradient of orientation decay not too slow at infinity, and the initial orientation satisfies a geometric condition (see (1.3)). In particular, the initial data can be arbitrarily large and the initial density may contain vacuum states and even have compact support. Furthermore, the large time behavior of the solution is also obtained. (C) 2016 Elsevier Inc. All rights reserved. |
| 资助项目 | National Science Foundation of China[11401202] ; National Science Foundation of China[11526152] ; National Science Foundation of China[11301244] ; Scientific Research Fund of Hunan Provincial Education Department[14B117] ; China Postdoctoral Science Foundation[2015M570053] ; China Postdoctoral Science Foundation[2016T90063] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000385911600019 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23738]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Qiao |
| 作者单位 | 1.Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Qiao,Liu, Shengquan,Tan, Wenke,et al. Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,261(11):6521-6569. |
| APA | Liu, Qiao,Liu, Shengquan,Tan, Wenke,&Zhong, Xin.(2016).Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows.JOURNAL OF DIFFERENTIAL EQUATIONS,261(11),6521-6569. |
| MLA | Liu, Qiao,et al."Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows".JOURNAL OF DIFFERENTIAL EQUATIONS 261.11(2016):6521-6569. |
入库方式： OAI收割
来源：数学与系统科学研究院
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