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The Divergence of a Vector Field: Sources and Sinks
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This video introduces the divergence operator from vector calculus, which takes a vector field (like the fluid flow of air in a room) and returns a scalar field quantifying how much the vector field is locally expanding or contracting at every point. The divergence is a fundamental building block in vector calculus.
@eigensteve on Twitter
This video was produced at the University of Washington
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0:00 Introduction & Overview
3:30 The Divergence is a Linear Operator
4:41 Example of Positive Divergence
8:05 Example of Negative Divergence
10:25 Example of Zero Divergence
13:58 Vector Field is a Differential Equation
16:17 Recap
17:20 Divergence of a Gradient is the Laplacian
@eigensteve on Twitter
This video was produced at the University of Washington
%%% CHAPTERS %%%
0:00 Introduction & Overview
3:30 The Divergence is a Linear Operator
4:41 Example of Positive Divergence
8:05 Example of Negative Divergence
10:25 Example of Zero Divergence
13:58 Vector Field is a Differential Equation
16:17 Recap
17:20 Divergence of a Gradient is the Laplacian
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