Solutions of Navier equations and their representation structure
文献类型：期刊论文
| 作者 | Cao, Bintao |
| 刊名 | ADVANCES IN APPLIED MATHEMATICS
 |
| 出版日期 | 2009-10-01 |
| 卷号 | 43期号:4页码:331-374 |
| 关键词 | Navier equations Lame equations Polynomial solutions Bases Initial value problems |
| ISSN号 | 0196-8858 |
| DOI | 10.1016/j.aam.2009.04.004 |
| 英文摘要 | Navier equations are used to describe the deformation of a homogeneous, isotropic and linear elastic medium in the absence of body forces. Mathematically, the system is a natural vector O (n, R)-invariant generalization of the classical Laplace equation. In this paper, we decompose the space of polynomial Solutions of Navier equations into a direct SLIM of irreducible O(n, R)-submodules and construct an explicit basis for each irreducible summand. Moreover, we explicitly solve the initial value problems for Navier equations and their wave-type extension-Lame equations by Fourier expansion and Xu's method of solving flag partial differential equations. Our work might be counted as a continuation of Olver's important work on the algebraic Study of elasticity in a certain sense. (C) 2009 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000270638900003 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7519]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cao, Bintao |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Bintao. Solutions of Navier equations and their representation structure[J]. ADVANCES IN APPLIED MATHEMATICS,2009,43(4):331-374. |
| APA | Cao, Bintao.(2009).Solutions of Navier equations and their representation structure.ADVANCES IN APPLIED MATHEMATICS,43(4),331-374. |
| MLA | Cao, Bintao."Solutions of Navier equations and their representation structure".ADVANCES IN APPLIED MATHEMATICS 43.4(2009):331-374. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
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。