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
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| 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
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