Divergence

Divergence (Div)

A vector function F can be combined with the del operator [image] by a dot product. This is called divergence. The abbreviation of the divergence is Div. It describes the flow of the vector field F. It is the sum of all changes with respect to all axis.

 

Vector function:

 

[image]

 

Del operator:

 

[image] 

 

 

[image]  Definition

 

[image]

 

[image]

 

 

This is a scalar.

 

 

[image]  Example

 

Let [image]

 

Find Div.

 

[image]

 

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