Question

How to find the surface integral on the lateral surface $S_3$

score 48 · Answer 1 · 2022-06-20 18:22:45

48

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How to find the surface integral on the lateral surface $S_3$

Published on 20 Jun 2022 - 18:22

score 56 · Answer 2 · 2022-07-03 10:40:42

56

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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 03 Jul 2022 - 10:40

score 210 · Answer 3 · 2022-07-03 18:12:20

210

Views

Surface integral of a sphere via definition

Published on 03 Jul 2022 - 18:12

score 55 · Answer 4 · 2022-07-04 05:19:52

55

Views

Show by divergence theorem $\int_SF.n\, dS=4\pi$ where $F=(x-z)i + (x^3+yz)j - 3xy^2k$

Published on 04 Jul 2022 - 5:19

score 45 · Answer 5 · 2022-07-04 11:54:43

45

Views

To understand the parametrization of the surfaces $S_1$, $S_2$ and $S_3$

Published on 04 Jul 2022 - 11:54

score 50 · Answer 6 · 2022-07-04 21:10:08

50

Views

Gauss-Ostrogradski theorem over all space (infinite surface area)

Published on 04 Jul 2022 - 21:10

score 37 · Answer 7 · 2022-07-13 05:12:20

37

Views

Is a normal vector to the boundary of a surface well-defined?

Published on 13 Jul 2022 - 5:12

score 90 · Answer 8 · 2022-07-13 16:09:01

90

Views

1D Divergence Theorem for a Tensor

Published on 13 Jul 2022 - 16:09

score 154 · Answer 9 · 2022-07-24 15:36:54

154

Views

Proving Hadamard's Variational Formula $\dot{\lambda} = -\int_{\partial U(\tau)}\left|\frac{\partial w}{\partial v}\right|^2v\cdot \nu dS$

Published on 24 Jul 2022 - 15:36

score 35 · Answer 10 · 2022-07-31 16:00:44

35

Views

Verifying the divergence theorem over B

Published on 31 Jul 2022 - 16:00

score 32 · Answer 11 · 2022-08-01 12:08:31

32

Views

Verifying the divergence theorem: over B

Published on 01 Aug 2022 - 12:08

score 84 · Answer 12 · 2022-08-10 17:02:35

84

Views

Does the $\partial$ mean something when it is used as the boundary of a set?

Published on 10 Aug 2022 - 17:02

score 161 · Answer 13 · 2022-08-23 06:55:16

161

Views

Using the divergence theorem to prove that $\frac{1}{|B_R(0)|} \int_{B_R(0)} M \textbf{y} . \textbf{y} dy = \frac{R^2}{ n + 2} \text{trace}(M)$

Published on 23 Aug 2022 - 6:55

score 59 · Answer 14 · 2022-08-25 03:38:17

59

Views

Understanding the detailed proof of that the area of $n$- sphere of radius $R$ is $R^{n-1}$ times the area of the unit sphere

Published on 25 Aug 2022 - 3:38

score 18 · Answer 15 · 2026-02-23 04:55:06

18

Views

Finite Volume Method Dirichlet conditions on sets of measure zero

Published on 23 Feb 2026 - 4:55

List Question

How to find the surface integral on the lateral surface $S_3$

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 ${\bf b}$?

Surface integral of a sphere via definition

Show by divergence theorem $\int_SF.n\, dS=4\pi$ where $F=(x-z)i + (x^3+yz)j - 3xy^2k$

To understand the parametrization of the surfaces $S_1$, $S_2$ and $S_3$

Gauss-Ostrogradski theorem over all space (infinite surface area)

Is a normal vector to the boundary of a surface well-defined?

1D Divergence Theorem for a Tensor

Proving Hadamard's Variational Formula $\dot{\lambda} = -\int_{\partial U(\tau)}\left|\frac{\partial w}{\partial v}\right|^2v\cdot \nu dS$

Verifying the divergence theorem over B

Verifying the divergence theorem: over B

Does the $\partial$ mean something when it is used as the boundary of a set?

Using the divergence theorem to prove that $\frac{1}{|B_R(0)|} \int_{B_R(0)} M \textbf{y} . \textbf{y} dy = \frac{R^2}{ n + 2} \text{trace}(M)$

Understanding the detailed proof of that the area of $n$- sphere of radius $R$ is $R^{n-1}$ times the area of the unit sphere

Finite Volume Method Dirichlet conditions on sets of measure zero

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