Energy equality and uniqueness of weak solutions to MHD equations in L (az)(0,T;L (n) (Omega))
文献类型:期刊论文
作者 | Yong, Yan1; Jiu, Quan Sen2 |
刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
![]() |
出版日期 | 2009-05-01 |
卷号 | 25期号:5页码:803-814 |
关键词 | MHD equations weak solutions energy equality uniqueness |
ISSN号 | 1439-8516 |
DOI | 10.1007/s10114-009-7214-8 |
英文摘要 | In this paper, we study the energy equality and the uniqueness of weak solutions to the MHD equations in the critical space L (az)(0,T;L (n) (Omega)). We prove that if the velocity u belongs to the critical space L (az)(0,T;L (n) (Omega)), the energy equality holds. On the basis of the energy equality, we further prove that the weak solution to the MHD equations is unique. |
资助项目 | NSF of China[10431060] ; NSF of China[10771177] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000265961000007 |
出版者 | SPRINGER HEIDELBERG |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7037] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Yong, Yan |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China |
推荐引用方式 GB/T 7714 | Yong, Yan,Jiu, Quan Sen. Energy equality and uniqueness of weak solutions to MHD equations in L (az)(0,T;L (n) (Omega))[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2009,25(5):803-814. |
APA | Yong, Yan,&Jiu, Quan Sen.(2009).Energy equality and uniqueness of weak solutions to MHD equations in L (az)(0,T;L (n) (Omega)).ACTA MATHEMATICA SINICA-ENGLISH SERIES,25(5),803-814. |
MLA | Yong, Yan,et al."Energy equality and uniqueness of weak solutions to MHD equations in L (az)(0,T;L (n) (Omega))".ACTA MATHEMATICA SINICA-ENGLISH SERIES 25.5(2009):803-814. |
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。