List questions from divergence-operator

Published on 26 Mar 2026 - 21:34

57

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When is $\nabla\cdot({\bf a}\cdot{\bf r})({\bf b}\cdot{\bf r})\,{\bf F}({\bf r})=0$ for constant vectors ${\bf a}$ and ${\bf b}$?

Published on 24 Feb 2026 - 6:51

64

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I found different results developing the divergence of the advection flux

Published on 20 Jul 2022 - 7:49

55

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Integral of Dirac delta times another function with vectorial variable

Published on 22 Jul 2022 - 11:57

229

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Divergence of a Tensor Field

Published on 26 Jul 2022 - 16:52

222

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Is there a formula for $\nabla^n(fg)$?

Published on 22 Aug 2022 - 21:55

370

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Proving $A\times(\nabla\times B)+B\times(\nabla\times A)=\nabla(A\cdot B)-(A\cdot\nabla)B -(B\cdot\nabla)A$ with Einstein summation

Published on 27 Mar 2026 - 7:16

1.4k

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Determine $f(r)$ so that the field may be irrotational and solenoidal

Published on 27 Mar 2026 - 7:18

103

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$∇ \cdot( ∇\times u)=0$ What is the concept of this.

Published on 27 Mar 2026 - 10:24

58

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Divergence of the gradient of f

Published on 26 Sep 2022 - 18:14

249

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Intuition behind writing the Laplacian operator in different ways: $\nabla^2 u$ versus $\nabla \cdot \nabla u$

Published on 03 Oct 2022 - 21:17

42

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Function time its own gradient and vector scalar its divergence

Published on 09 Oct 2022 - 10:23

22

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Find scalar function so that vector field becomes source free

Published on 26 Oct 2022 - 16:29

1.6k

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Is writing the divergence as a "dot product" a deception?

Published on 05 Nov 2022 - 22:49

35

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Express partial derivatives sum which isn't a gradient or a divergence

Published on 15 Nov 2022 - 14:40

List Question

Divergence of a vector field in geometric calculus

When is $\nabla\cdot({\bf a}\cdot{\bf r})({\bf b}\cdot{\bf r})\,{\bf F}({\bf r})=0$ for constant vectors ${\bf a}$ and ${\bf b}$?

I found different results developing the divergence of the advection flux

Integral of Dirac delta times another function with vectorial variable

Divergence of a Tensor Field

Is there a formula for $\nabla^n(fg)$?

Proving $A\times(\nabla\times B)+B\times(\nabla\times A)=\nabla(A\cdot B)-(A\cdot\nabla)B -(B\cdot\nabla)A$ with Einstein summation

Determine $f(r)$ so that the field may be irrotational and solenoidal

$∇ \cdot( ∇\times u)=0$ What is the concept of this.

Divergence of the gradient of f

Intuition behind writing the Laplacian operator in different ways: $\nabla^2 u$ versus $\nabla \cdot \nabla u$

Function time its own gradient and vector scalar its divergence

Find scalar function so that vector field becomes source free

Is writing the divergence as a "dot product" a deception?

Express partial derivatives sum which isn't a gradient or a divergence

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