Green's theorem
From Glossary of Meteorology
Green's theorem
A form of the divergence theorem applied to a vector field so chosen as to yield a formula useful in applying the Green's function method of solution of a boundary-value problem.
The most common form of the theorem is where dV and dS are elements of the volume V and closed bounding surface S, respectively; φ and ψ are any twice differential functions with continuous second partial derivatives in V; n is the outer normal to S; and ∇2 is the Laplacian operator.
