Singular and rarefactive solutions to a nonlinear variational wave equation

CSpace

	Singular and rarefactive solutions to a nonlinear variational wave equation
	Zhang, P ; Zheng, YX
	2001-04-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	22 期号:2 页码:159-170
摘要	Following a recent paper of the authors in Communications in Partial Differential Equations, this paper establishes the global existence of weak solutions to a nonlinear variational wave equation under relaxed conditions on the initial data so that the solutions can contain singularities (blow-up). Propagation of local oscillations along one family of characteristics remains under control despite singularity formation in the other family of characteristics.
关键词	existence young measure wave equation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000169176500003
出版者	BALTZER SCI PUBL BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16717
专题	中国科学院数学与系统科学研究院
作者单位	1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Indiana Univ, Dept Math, Bloomington, IN 47405 USA
推荐引用方式 GB/T 7714	Zhang, P,Zheng, YX. Singular and rarefactive solutions to a nonlinear variational wave equation[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2001,22(2):159-170.
APA	Zhang, P,&Zheng, YX.(2001).Singular and rarefactive solutions to a nonlinear variational wave equation.CHINESE ANNALS OF MATHEMATICS SERIES B,22(2),159-170.
MLA	Zhang, P,et al."Singular and rarefactive solutions to a nonlinear variational wave equation".CHINESE ANNALS OF MATHEMATICS SERIES B 22.2(2001):159-170.