List questions from divergence-operator

Published on 17 May 2021 - 22:05

66

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Apply divergence theorem for $\int_R r \times \operatorname{div}(v \otimes v)dV$

Published on 24 Feb 2026 - 0:16

81

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Divergence of multiplication: what order?

Published on 08 Jun 2021 - 17:48

737

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If the flux of a vector field $F$ is zero for ANY surface $S$ then is $F$ zero?

Published on 28 Jun 2021 - 9:10

147

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Kernel of the operator $\int_{\Omega} \operatorname{div} vq$

Published on 20 Jul 2021 - 19:12

508

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Divergence is coordinate independent

Published on 23 Jul 2021 - 17:54

458

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Why can the divergence be defined equivalently as ${\rm div}(X)(x)=\sum_j \langle\nabla_j X,e_j\rangle_x$ and $d(i_X dV)=({\rm div}X)dV$?

Published on 23 Jul 2021 - 22:52

779

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Invariance of divergence under arbitrary coordinate transformations

Published on 26 Jul 2021 - 14:50

143

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Wrong computation of divergence in cylindrical coordinates. Where is my error?

Published on 17 Aug 2021 - 11:29

144

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Divergence of field in spherical coordinates does not match Cartesian

Published on 28 Aug 2021 - 16:11

5.4k

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Calculating the Divergence of a Tensor

Published on 07 Sep 2021 - 20:50

1.6k

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Divergence of a radial vector field

Published on 26 Mar 2026 - 13:48

61

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Does the classical expression for divergence hold for (not continuously) differentiable functions?

Published on 18 Sep 2021 - 0:04

98

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Proof with div and curl

Published on 27 Mar 2026 - 5:34

342

Views

Can we show the Voss-Weyl formula "the other way"?

Published on 25 Sep 2021 - 12:00

List Question

Inconsistent calculation of divergence in spherical coordinates

Apply divergence theorem for $\int_R r \times \operatorname{div}(v \otimes v)dV$

Divergence of multiplication: what order?

If the flux of a vector field $F$ is zero for ANY surface $S$ then is $F$ zero?

Kernel of the operator $\int_{\Omega} \operatorname{div} vq$

Divergence is coordinate independent

Why can the divergence be defined equivalently as ${\rm div}(X)(x)=\sum_j \langle\nabla_j X,e_j\rangle_x$ and $d(i_X dV)=({\rm div}X)dV$?

Invariance of divergence under arbitrary coordinate transformations

Wrong computation of divergence in cylindrical coordinates. Where is my error?

Divergence of field in spherical coordinates does not match Cartesian

Calculating the Divergence of a Tensor

Divergence of a radial vector field

Does the classical expression for divergence hold for (not continuously) differentiable functions?

Proof with div and curl

Can we show the Voss-Weyl formula "the other way"?

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