A Note on Divergence, Rotation and Gradient and Their Associated Theorems

Guo You-zhong; Tai Chen-to

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Guo You-zhong, Tai Chen-to. A Note on Divergence, Rotation and Gradient and Their Associated Theorems[J]. Applied Mathematics and Mechanics, 1987, 8(7): 579-590.

Citation:

Guo You-zhong, Tai Chen-to. A Note on Divergence, Rotation and Gradient and Their Associated Theorems[J]. Applied Mathematics and Mechanics, 1987, 8(7): 579-590.

Citation:

Guo You-zhong, Tai Chen-to. A Note on Divergence, Rotation and Gradient and Their Associated Theorems[J]. Applied Mathematics and Mechanics, 1987, 8(7): 579-590.

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A Note on Divergence, Rotation and Gradient and Their Associated Theorems

Guo You-zhong¹,
Tai Chen-to²

1.
Institute of Mathematical Sciences, Academia Sinica, Wuhan;
2.
Department of Electrical Engineering and Computer Science, University of Michigan, USA

Received Date: 1986-06-02
Publish Date: 1987-07-15

Abstract

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.

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References(11)

References

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