Entropy solutions in L-infinity for the Euler equations in nonlinear elastodynamics and related equations

doi:10.1007/s00205-003-0284-3

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	Entropy solutions in L-infinity for the Euler equations in nonlinear elastodynamics and related equations
	Chen, GQ ; Li, BH ; Li, TH
	2003-12-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	170 期号:4 页码:331-357
摘要	A compactness framework is established for approximate solutions to the Euler equations in one-dimensional nonlinear elastodynamics by identifying new properties of the Lax entropies, especially the higher order terms in the Lax entropy expansions, and by developing ways to employ these new properties in the method of compensated compactness. Then this framework is applied to establish the existence, compactness, and decay of entropy solutions in L-infinity for the Euler equations in nonlinear elastodynamics with a more general stress-strain relation than those for the previous existence results. This compactness framework is further applied to solving the Euler equations of conservation laws of mass, momentum, and energy for a class of thermoelastic media, and the equations of motion of viscoelastic media with memory.
DOI	10.1007/s00205-003-0284-3
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000186778600003
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18062
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, GQ
作者单位	1.Northwestern Univ, Dept Math, Evanston, IL 60208 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Stanford Univ, Dept Math, Stanford, CA 94305 USA
推荐引用方式 GB/T 7714	Chen, GQ,Li, BH,Li, TH. Entropy solutions in L-infinity for the Euler equations in nonlinear elastodynamics and related equations[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2003,170(4):331-357.
APA	Chen, GQ,Li, BH,&Li, TH.(2003).Entropy solutions in L-infinity for the Euler equations in nonlinear elastodynamics and related equations.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,170(4),331-357.
MLA	Chen, GQ,et al."Entropy solutions in L-infinity for the Euler equations in nonlinear elastodynamics and related equations".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 170.4(2003):331-357.