The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces

doi:10.1007/s10114-005-0864-2

CSpace

	The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces
	Yuan, Bao Quan
	2007-03-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	23 期号:3 页码:439-448
摘要	In this paper we consider the Cauchy problems of Burgers' equations and the Deybe system. Their existence and uniqueness of the time-global solutions for small initial data in some pseudomeasure spaces are obtained. The asymptotic stability of small solutions is proved. As an immediate result the existence and uniqueness of the self-similar solutions are also obtained provided the initial data satisfy the self-similar structures.
关键词	Burgers' equations Deybe system pseudomeasure spaces self-similar solutions asymptotic stability
DOI	10.1007/s10114-005-0864-2
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000245267900006
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4806
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, Bao Quan
作者单位	1.Henan Polytech Univ, Coll Math & Informat, Jiaozuo 454000, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Bao Quan. The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(3):439-448.
APA	Yuan, Bao Quan.(2007).The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(3),439-448.
MLA	Yuan, Bao Quan."The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.3(2007):439-448.