Problem

Divergence

Other Names:
Divergence
Division
Nature:

In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point. More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point.

As an example, consider air as it is heated or cooled. The velocity of the air at each point defines a vector field. While air is heated in a region, it expands in all directions, and thus the velocity field points outward from that region. The divergence of the velocity field in that region would thus have a positive value. While the air is cooled and thus contracting, the divergence of the velocity has a negative value.

Broader Problems:
Relative motion*complex
Narrower Problems:
Divisive roads
Divided cities
Problem Type:
B: Basic universal problems
Subject(s):
Date of last update
01.01.2000 – 00:00 CET