Definition:Divergence Operator/Physical Interpretation
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Definition
Let $\mathbf V$ be a vector field acting over a region of space $R$.
The divergence of $\mathbf V$ at a point $P$ is the total flux away from $P$ per unit volume.
It is a scalar field.
Sources
- 1951: B. Hague: An Introduction to Vector Analysis (5th ed.) ... (previous) ... (next): Chapter $\text {IV}$: The Operator $\nabla$ and its Uses: $3$. The Divergence of a Vector Field
- 1990: I.S. Grant and W.R. Phillips: Electromagnetism (2nd ed.) ... (previous) ... (next): Appendix $\text B$: Fields and differential operators: $\text B.1$ The Operators Div, Grad and Curl
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): divergence: 2. (div)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): divergence: 2. (div)