Poisson's Differential Equation/Examples/General Scenario

Example of Poisson's Differential Equation

Let $R$ be a region of ordinary space.

Let $R$ contain a spatial distribution of sources of flux.

Let $\mathbf V$ be the vector field arising from the sources in $R$.

Then $\mathbf V$ satisfies Poisson's differential equation.

Sources

• 1951: B. Hague: An Introduction to Vector Analysis (5th ed.) ... (previous) ... (next): Chapter $\text {V}$: Further Applications of the Operator $\nabla$: $7$. The Classification of Vector Fields: $\text {(ii)}$