Well-posedness for the incompressible magneto-hydrodynamic system

doi:10.1002/mma.820

CSpace > 应用数学研究所

	Well-posedness for the incompressible magneto-hydrodynamic system
	Miao, Changxing ; Yuan, Baoquan ; Zhang, Bo
	2007-05-25
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	30 期号:8 页码:961-976
摘要	This paper is concerned with well-posedness of the incompressible magneto-hydrodynamics (MHD) system. In particular, we prove the existence of a global mild solution in BMO-1 for small data which is also unique in the space C([0, infinity); BMO-1). We also establish the existence of a local mild solution in bmo(-1) for small data and its uniqueness in C([0, T); bmo(-1)). In establishing our results an important role is played by the continuity of the bilinear form which was proved previously by Kock and Tataru. In this paper, we give a new proof of this result by using the weighted L-p-boundedness of the maximal function. Copyright (c) 2006 John Wiley & Sons, Ltd.
关键词	magneto-hydrodynamic system well-posedness BMO-1 bmo(-1)
DOI	10.1002/mma.820
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000246313800005
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3981
专题	应用数学研究所
通讯作者	Zhang, Bo
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Coventry Univ, Dept Math Sci, Coventry CV1 5FB, W Midlands, England
推荐引用方式 GB/T 7714	Miao, Changxing,Yuan, Baoquan,Zhang, Bo. Well-posedness for the incompressible magneto-hydrodynamic system[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2007,30(8):961-976.
APA	Miao, Changxing,Yuan, Baoquan,&Zhang, Bo.(2007).Well-posedness for the incompressible magneto-hydrodynamic system.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,30(8),961-976.
MLA	Miao, Changxing,et al."Well-posedness for the incompressible magneto-hydrodynamic system".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 30.8(2007):961-976.