Question

How to interpret the divergence of a vector field plot at a point.

score 43 · Answer 1 · 2023-05-18 06:30:36

43

Views

How to interpret the divergence of a vector field plot at a point.

Published on 18 May 2023 - 6:30

score 46 · Answer 2 · 2026-02-23 08:24:25

46

Views

Calculate the flux of the vector field by using divergence theorem problem

Published on 23 Feb 2026 - 8:24

score 128 · Answer 3 · 2023-05-20 15:55:37

128

Views

Imposing a no flux boundary for 2D convection-diffusion equation in polar coordinates

Published on 20 May 2023 - 15:55

score 53 · Answer 4 · 2026-03-25 22:26:11

53

Views

Am I allowed to add a total divergence inside an integral with no boundaries?

Published on 25 Mar 2026 - 22:26

score 75 · Answer 5 · 2023-06-02 11:17:53

75

Views

Compute the divergence of $n(x) = -\frac{\Sigma^{-1}x}{\|\Sigma^{-1}x\|}$

Published on 02 Jun 2023 - 11:17

score 126 · Answer 6 · 2026-03-26 11:05:10

126

Views

Find an irrotational function $F(x)$ and a solenoidal function $G(x)$ such that $H = F + G$.

Published on 26 Mar 2026 - 11:05

score 183 · Answer 7 · 2023-06-05 18:22:54

183

Views

The divergence operator as an element of $T_pM$ (if it does make any sense)

Published on 05 Jun 2023 - 18:22

score 229 · Answer 8 · 2023-06-12 10:16:52

229

Views

How to visualize divergence correctly?

Published on 12 Jun 2023 - 10:16

score 68 · Answer 9 · 2026-03-26 12:38:04

68

Views

Show that $\nabla\cdot [(\vec u\times \vec v)\times \vec w]=\vec w\cdot [(\vec v\cdot \nabla)\vec u-(\vec u\cdot \nabla)\vec v]$

Published on 26 Mar 2026 - 12:38

score 43 · Answer 10 · 2026-03-26 19:11:48

43

Views

$\vec \nabla \times \vec F=0 $ $\implies$ $\exists$ a scalar potential $\phi$ such that $\nabla \phi=\vec F$. Prove it.

Published on 26 Mar 2026 - 19:11

score 122 · Answer 11 · 2023-06-19 18:07:34

122

Views

Covariant derivative and divergence, how are they linked?

Published on 19 Jun 2023 - 18:07

score 98 · Answer 12 · 2023-06-26 15:09:11

98

Views

How are the tangential divergence and tangential Laplace operators defined in spherical coordinates?

Published on 26 Jun 2023 - 15:09

score 50 · Answer 13 · 2026-03-26 17:31:24

50

Views

Holomorphic in $\mathbb{C}$ vs divergence-and-curl-free in $\mathbb{R}^2$

Published on 26 Mar 2026 - 17:31

score 79 · Answer 14 · 2026-02-23 10:03:25

79

Views

$\int_{\Omega}u\operatorname{div} \varphi \,\mathrm{d}x = -\int_{\Omega} \phi \cdot \nabla{u} \,\mathrm{d}x$

Published on 23 Feb 2026 - 10:03

score 97 · Answer 15 · 2026-03-25 06:18:53

97

Views

Divergence theorem in Sobolev spaces

Published on 25 Mar 2026 - 6:18

List Question

How to interpret the divergence of a vector field plot at a point.

Calculate the flux of the vector field by using divergence theorem problem

Imposing a no flux boundary for 2D convection-diffusion equation in polar coordinates

Am I allowed to add a total divergence inside an integral with no boundaries?

Compute the divergence of $n(x) = -\frac{\Sigma^{-1}x}{\|\Sigma^{-1}x\|}$

Find an irrotational function $F(x)$ and a solenoidal function $G(x)$ such that $H = F + G$.

The divergence operator as an element of $T_pM$ (if it does make any sense)

How to visualize divergence correctly?

Show that $\nabla\cdot [(\vec u\times \vec v)\times \vec w]=\vec w\cdot [(\vec v\cdot \nabla)\vec u-(\vec u\cdot \nabla)\vec v]$

$\vec \nabla \times \vec F=0 $ $\implies$ $\exists$ a scalar potential $\phi$ such that $\nabla \phi=\vec F$. Prove it.

Covariant derivative and divergence, how are they linked?

How are the tangential divergence and tangential Laplace operators defined in spherical coordinates?

Holomorphic in $\mathbb{C}$ vs divergence-and-curl-free in $\mathbb{R}^2$

$\int_{\Omega}u\operatorname{div} \varphi \,\mathrm{d}x = -\int_{\Omega} \phi \cdot \nabla{u} \,\mathrm{d}x$

Divergence theorem in Sobolev spaces

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