KMS Of Academy of mathematics and systems sciences, CAS
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. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Chen, GQ]的文章 |
[Li, BH]的文章 |
[Li, TH]的文章 |
百度学术 |
百度学术中相似的文章 |
[Chen, GQ]的文章 |
[Li, BH]的文章 |
[Li, TH]的文章 |
必应学术 |
必应学术中相似的文章 |
[Chen, GQ]的文章 |
[Li, BH]的文章 |
[Li, TH]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论