On center singularity for compressible spherically symmetric nematic liquid crystal flows
文献类型：期刊论文
| 作者 | Wang, Yun1; Huang, Xiangdi2
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2018-04-15 |
| 卷号 | 264期号:8页码:5197-5220 |
| 关键词 | Compressible nematic liquid crystal flows Blowup criterion Spherically symmetric flows |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2017.12.0350022 |
| 英文摘要 | The paper is concerned with a simplified system, proposed by Ericksen[6] and Leslie[20], modeling the flow of nematic liquid crystals. In the first part, we give a new Serrin's continuation principle for strong solutions of general compressible liquid crystal flows. Based on new observations, we establish a localized Serrin's regularity criterion for the 3D compressible spherically symmetric flows. It is proved that the classical solution loses its regularity in finite time if and only if, either the concentration or vanishing of mass forms or the norm inflammation of gradient of orientation field occurs around the center. (c) 2018 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC[11671289] ; NSFC[11471321] ; NSFC[11688101] ; NSFC[11731007] ; NSFC[11671412] ; Youth Innovation Promotion Association, CAS ; National Center of Mathematics and Interdisciplinary Sciences, CAS ; President Fund of Academy of Mathematics Systems Science, CAS[2014-cjrwlzx-hxd] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000426146600009 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29554]  |
| 专题 | 数学所 |
| 通讯作者 | Wang, Yun |
| 作者单位 | 1.Soochow Univ, Dept Math, Suzhou 215006, Peoples R China 2.Chinese Acad Sci, NCMIS, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Yun,Huang, Xiangdi. On center singularity for compressible spherically symmetric nematic liquid crystal flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,264(8):5197-5220. |
| APA | Wang, Yun,&Huang, Xiangdi.(2018).On center singularity for compressible spherically symmetric nematic liquid crystal flows.JOURNAL OF DIFFERENTIAL EQUATIONS,264(8),5197-5220. |
| MLA | Wang, Yun,et al."On center singularity for compressible spherically symmetric nematic liquid crystal flows".JOURNAL OF DIFFERENTIAL EQUATIONS 264.8(2018):5197-5220. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。