Entropy solutions in L-infinity for the Euler equations in nonlinear elastodynamics and related equations | |
Chen, GQ; Li, BH; Li, TH | |
刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS |
2003-12-01 | |
卷号 | 170期号:4页码:331-357 |
ISSN号 | 0003-9527 |
DOI | 10.1007/s00205-003-0284-3 |
英文摘要 | 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. |
WOS研究方向 | Mathematics ; Mechanics |
语种 | 英语 |
出版者 | SPRINGER-VERLAG |
WOS记录号 | WOS:000186778600003 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18061] |
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. |
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