Energy equality and uniqueness of weak solutions to MHD equations in L (az)(0,T;L (n) (Omega))

doi:10.1007/s10114-009-7214-8

CSpace

	Energy equality and uniqueness of weak solutions to MHD equations in L (az)(0,T;L (n) (Omega))
	Yong, Yan 1; Jiu, Quan Sen 2
	2009-05-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	25 期号:5 页码:803-814
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.
关键词	MHD equations weak solutions energy equality uniqueness
DOI	10.1007/s10114-009-7214-8
语种	英语
资助项目	NSF of China[10431060] ; NSF of China[10771177]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000265961000007
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7038
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.