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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (7): 603-616.

• 论文 • 上一篇    下一篇

A NOTE ON DIVERGENCE,ROTATION,GRADIENT AND THEIR ASSOCIATED THEOREMS

郭友中1, 戴振铎2   

  1. 1. Inst. of Math. Sci., Academia Sinica, Wuhan;
    2. Dept. of Elect. Eng. & Comp. Sci., University of Michigan, United States, U.S.A.
  • 收稿日期:1986-06-02 出版日期:1987-07-18 发布日期:1987-07-18

A NOTE ON DIVERGENCE,ROTATION,GRADIENT AND THEIR ASSOCIATED THEOREMS

Guo You-zhong1, Tai Chen-to2   

  1. 1. Inst. of Math. Sci., Academia Sinica, Wuhan;
    2. Dept. of Elect. Eng. & Comp. Sci., University of Michigan, United States, U.S.A.
  • Received:1986-06-02 Online:1987-07-18 Published:1987-07-18

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1968

摘要： 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.

关键词: Richtmyer-Meshkov instability, conservative front-tracking, perturbation amplitude, amplitude growth rate

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.

Key words: Richtmyer-Meshkov instability, conservative front-tracking, perturbation amplitude, amplitude growth rate

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