DefinitionIn vector calculus, the divergence theorem essentially states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence over the region inside the surface. In mathematics, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, the content of that under certain conditions, which are specified in detail in the proofs, the divergence of a vector field F over a region V is equal to the flux of F through the surface of V (enclosing V is understood), is one of the formal statements of one of the important fundamental theorems in the entire field of physics, Gauss's law. Example: In fluid dynamics, the Divergence Theorem is applied to link the flow of fluid velocity through a surface to the total amount by which fluid volume is shifting within the closed region, enriching the fluid flow and conservation of mass study.
