A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics

doi:10.1016/j.jde.2016.03.025

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	A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics
	Hao, Chengchun1,2,3 ; Wang, Dehua 4
	2016-07-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	261 期号:1 页码:712-737
摘要	A free boundary problem for the incompressible neo-Hookean elastodynamics is studied in two and three spatial dimensions. The a priori estimates in Sobolev norms of solutions with the physical vacuum condition are established through a geometrical point of view of Christodoulou and Lindblad (2000) [3]. Some estimates on the second fundamental form and velocity of the free surface are also obtained. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Incompressible elastodynamics Free boundary A priori estimates The second fundamental form
DOI	10.1016/j.jde.2016.03.025
语种	英语
资助项目	National Science Foundation of China[11171327] ; National Science Foundation of China[11461161007] ; National Science Foundation of China[11501323] ; Youth Innovation Promotion Association, Chinese Academy of Sciences ; National Science Foundation[DMS-1312800]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000375339000023
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22575
专题	数学所
通讯作者	Hao, Chengchun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.BCMIIS, Beijing 100048, Peoples R China 4.Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
推荐引用方式 GB/T 7714	Hao, Chengchun,Wang, Dehua. A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,261(1):712-737.
APA	Hao, Chengchun,&Wang, Dehua.(2016).A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics.JOURNAL OF DIFFERENTIAL EQUATIONS,261(1),712-737.
MLA	Hao, Chengchun,et al."A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics".JOURNAL OF DIFFERENTIAL EQUATIONS 261.1(2016):712-737.