Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain

doi:10.1016/j.jde.2019.10.045

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	Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain
	Wang, Yi1,2 ; Zuo, Bijun 1,2
	2020-04-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	268 期号:8 页码:4079-4101
摘要	In this paper, we prove the energy and cross-helicity conservation of weak solutions to the three-dimensional ideal MHD equations in a bounded domain under the interior Besov regularity conditions which are exactly same as the three-dimensional periodic domain case in [3], and the boundedness and the Besov-type continuity conditions for both the velocity and magnetic fields near the boundary, which seem crucial for the bounded domain case due to the boundary effect. Note that our Besov-type continuity conditions near the boundary are consistent with the interior Besov regularity conditions. (C) 2019 Elsevier Inc. All rights reserved.
DOI	10.1016/j.jde.2019.10.045
收录类别	SCI
语种	英语
资助项目	NSFC[11671385] ; NSFC[11688101] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000510863100001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50814
专题	应用数学研究所
通讯作者	Zuo, Bijun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yi,Zuo, Bijun. Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,268(8):4079-4101.
APA	Wang, Yi,&Zuo, Bijun.(2020).Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain.JOURNAL OF DIFFERENTIAL EQUATIONS,268(8),4079-4101.
MLA	Wang, Yi,et al."Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain".JOURNAL OF DIFFERENTIAL EQUATIONS 268.8(2020):4079-4101.