List questions from curl

233

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Why is the vector Laplacian defined in a way that only makes sense for three-dimensional vector fields?

Published on 17 Apr 2026 - 7:12

60

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Can you compute Laplacian, divergence, curl for a function?

Published on 12 Apr 2026 - 8:57

142

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Curl identity in the sense of distributions

Published on 08 Apr 2026 - 18:55

421

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Is $F=(yx,x+z,yz)$ conservative?

Published on 13 Apr 2026 - 13:24

46

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Curl operation proof

Published on 08 Apr 2026 - 17:23

23

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Clarification on stokes theorem

Published on 11 Apr 2026 - 15:04

108

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Arguments to show that $\lim_{\iiint d\tau\to 0}\frac{\iint d\vec{\sigma}\times\vec{V}}{\iiint d\tau}=\nabla\times\vec{V}$

Published on 16 Apr 2026 - 10:46

169

Views

general definition of curl

Published on 10 Apr 2026 - 1:48

51

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Inconsistent notation fro Del-Operator

Published on 13 Apr 2026 - 12:59

686

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What does Poincare's Lemma tell me about the existence of a vector potential and what restrictions have to be considered for the domain?

Published on 13 Apr 2026 - 7:16

72

Views

Curl in spherical coordinates without Del operator

Published on 09 Apr 2026 - 12:12

77

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Origins of $\frac1{r^2\sin(\theta)}$ term for curl of vector field in spherical coordinates

Published on 10 May 2026 - 20:43

103

Views

Divergence of Cross Products of vectors in Rn.

Published on 12 Apr 2026 - 7:45

115

Views

How to prove this vector identity $\nabla \cdot \Big( ({\bf u}\cdot\nabla ){\bf u}+ \dfrac{1}{2}(\nabla \cdot {\bf u}){\bf u}\Big) $?

Published on 14 Apr 2026 - 13:20

318

Views

Which operators commute with curl?

Published on 08 Apr 2026 - 17:55

List Question

Why is the vector Laplacian defined in a way that only makes sense for three-dimensional vector fields?

Can you compute Laplacian, divergence, curl for a function?

Curl identity in the sense of distributions

Is $F=(yx,x+z,yz)$ conservative?

Curl operation proof

Clarification on stokes theorem

Arguments to show that $\lim_{\iiint d\tau\to 0}\frac{\iint d\vec{\sigma}\times\vec{V}}{\iiint d\tau}=\nabla\times\vec{V}$

general definition of curl

Inconsistent notation fro Del-Operator

What does Poincare's Lemma tell me about the existence of a vector potential and what restrictions have to be considered for the domain?

Curl in spherical coordinates without Del operator

Origins of $\frac1{r^2\sin(\theta)}$ term for curl of vector field in spherical coordinates

Divergence of Cross Products of vectors in Rn.

How to prove this vector identity $\nabla \cdot \Big( ({\bf u}\cdot\nabla ){\bf u}+ \dfrac{1}{2}(\nabla \cdot {\bf u}){\bf u}\Big) $?

Which operators commute with curl?

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