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searching for Divergence theorem 8 found (133 total)

Polarization density (3,373 words) [view diff] exact match in snippet view article find links to article

\cdot \mathrm {d} \mathbf {A} } which completes the proof. By the divergence theorem, Gauss's law for the field P can be stated in differential form as:

Finite volume method for two dimensional diffusion problem (1,123 words) [view diff] exact match in snippet view article find links to article

{}}{\partial {}y}}\right)dxdy+\int _{\Delta {v}}S_{\phi {}}dV=0} Using the divergence theorem, the equation can be rewritten as : [ΓeAe(∂ϕ∂x)e−ΓwAw(∂ϕ∂x)w]+[Γn

Calculus on Manifolds (book) (1,170 words) [view diff] exact match in snippet view article

vector calculus, including those of Cauchy–Green, Ostrogradsky–Gauss (divergence theorem), and Kelvin–Stokes, in the language of differential forms on differentiable

Werner A. Baum (769 words) [view diff] case mismatch in snippet view article find links to article

September 4, 1999 in Tallahassee, Florida. Baum, W.A. (1944). Scherhag's Divergence Theorem. Bulletin of the American Meteorological Society 25(8):319-326. JSTOR:26257064

Dorina Mitrea (627 words) [view diff] case mismatch in snippet view article find links to article

Mathematics, 344, Birkhäuser, 2022) Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces (with Irina Mitrea and Marius

Prandtl–Batchelor theorem (1,151 words) [view diff] exact match in snippet view article find links to article

since ∇ ⋅ u = 0 {\displaystyle \nabla \cdot \mathbf {u} =0} . By divergence theorem, one obtains ∮ C ω u ⋅ n d l = 1 R e ∮ C ∇ ω ⋅ n d l . {\displaystyle

Virtual work (6,342 words) [view diff] exact match in snippet view article find links to article

_{S}\mathbf {u} \cdot {\boldsymbol {\sigma }}\cdot \mathbf {n} dS} Applying divergence theorem to the right hand side yields: ∫ S u ⋅ σ ⋅ n d S = ∫ V ∇ ⋅ ( u ⋅ σ

Fokas method (5,052 words) [view diff] exact match in snippet view article find links to article

written in the form Integrating across the domain and applying the divergence theorem we recover the global relation ( n {\displaystyle n} denotes the outward