divergence theorem

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Gauss's_theorem
gptkbp:appliesTo three-dimensional Euclidean space
gptkbp:category integral theorems
gptkbp:expressedIn ∬_S F · dS = ∭_V div F dV
gptkbp:field vector calculus
gptkbp:firstPublished 1813
gptkbp:generalizes gptkb:Green's_theorem
https://www.w3.org/2000/01/rdf-schema#label divergence theorem
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkbp:relatedTo gptkb:Stokes'_theorem
divergence of a vector field inside a volume
flux of a vector field through a surface
gptkbp:requires oriented, closed surface
vector field with continuous partial derivatives
gptkbp:usedIn gptkb:mathematics
engineering
physics
gptkbp:bfsParent gptkb:Stokes'_theorem
gptkbp:bfsLayer 5