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Well-posedness for the incompressible magneto-hydrodynamic system

文献类型：期刊论文

作者Miao, Changxing; Yuan, Baoquan; Zhang, Bo
刊名MATHEMATICAL METHODS IN THE APPLIED SCIENCES
出版日期2007-05-25
卷号30期号:8页码:961-976
关键词magneto-hydrodynamic system well-posedness BMO-1 bmo(-1)
ISSN号0170-4214
DOI10.1002/mma.820
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000246313800005
出版者JOHN WILEY & SONS LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/3980]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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