| 关于散度、旋度和梯度及有关定理的注记 |
| |
| 引用本文： | 郭友中,戴振铎.关于散度、旋度和梯度及有关定理的注记[J].应用数学和力学,1987,8(7):579-590. |
| |
| 作者姓名： | 郭友中 戴振铎 |
| |
| 作者单位： | 1.中国科学院武汉数学物理研究所; |
| |
| 摘 要： | 本文是关于散度、旋度和梯度的统一定义的继续和在并矢与实复转化等方面的补充,目的在于推广外微分形式的一种表写及其应用.
|
| 收稿时间： | 1986-06-02 |
A Note on Divergence,Rotation and Gradient and Their Associated Theorems |
| |
| Institution: | 1.Institute of Mathematical Sciences, Academia Sinica, Wuhan;2.Department of Electrical Engineering and Computer Science, University of Michigan, USA |
| |
| Abstract: | In this note, the essence and some supplements for the unified definition of divergence, rotation and gradient advanced by Tai have been presented based on the method of exterior differential form with an expression of vectors of tensors. The main purpose of this note is to introduce the useful expressions and their applications, and to simplify the proofs of many theorems in various field theories, and they are also important because of their utlity for establishing a wide class of principles. |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
|
