“Divergence”的概念、定义、习题解题方法及翻译-数学辞典

单词

Divergence

释义

Divergence

The divergence of a Vector Field is given by

(1)

Define

(2)

Then in arbitrary orthogonal Curvilinear Coordinates,

(3)

, then the field is said to be a Divergenceless Field. For divergence in individualcoordinate systems, see Curvilinear Coordinates.

(4)

The divergence of a Tensor

(5)

where

is the Covariant Derivative and

is the Comma Derivative. Expanding the terms gives

See also Curl, Curl Theorem, Gradient, Green's Theorem, Divergence Theorem, Vector Derivative

References

Arfken, G. ``Divergence, .'' §1.7 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 37-42, 1985.

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