Global Well-Posedness of 3D Axisymmetric MHD System with Pure Swirl Magnetic Field

doi:10.1007/s10440-017-0143-0

CSpace

	Global Well-Posedness of 3D Axisymmetric MHD System with Pure Swirl Magnetic Field
	Liu, Yanlin 1,2
	2018-06-01
发表期刊	ACTA APPLICANDAE MATHEMATICAE
ISSN	0167-8019
卷号	155 期号:1 页码:21-39
摘要	In this paper, we consider the axisymmetric MHD system with nearly critical initial data having the special structure: u(0) = u(0)(r)er + u(0)(theta)e(theta) + u(0)(z)e(z), b(0) = b(0)(theta)e(theta) We prove that, this system is globally well-posed provided the scaling-invariant norms parallel to ru(0)(theta)parallel to L infinity,parallel to r(-1)b(0)(theta)parallel to(3/2)(L), are sufficiently small.
关键词	Axisymmetric MHD Critical spaces Mild solutions Littlewood-Paley Theory
DOI	10.1007/s10440-017-0143-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000431861900003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30171
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Yanlin
作者单位	1.Univ Sci & Technol China, Dept Math Sci, Hefei 230026, Anhui, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yanlin. Global Well-Posedness of 3D Axisymmetric MHD System with Pure Swirl Magnetic Field[J]. ACTA APPLICANDAE MATHEMATICAE,2018,155(1):21-39.
APA	Liu, Yanlin.(2018).Global Well-Posedness of 3D Axisymmetric MHD System with Pure Swirl Magnetic Field.ACTA APPLICANDAE MATHEMATICAE,155(1),21-39.
MLA	Liu, Yanlin."Global Well-Posedness of 3D Axisymmetric MHD System with Pure Swirl Magnetic Field".ACTA APPLICANDAE MATHEMATICAE 155.1(2018):21-39.