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

文献类型：期刊论文

作者Wang, Yi1,2; Zuo, Bijun1,2
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2020-04-05
卷号268期号:8页码:4079-4101
ISSN号0022-0396
DOI10.1016/j.jde.2019.10.045
英文摘要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.
资助项目NSFC[11671385] ; NSFC[11688101] ; CAS Interdisciplinary Innovation Team
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000510863100001
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50813]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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