List questions from divergence-operator

Published on 16 Nov 2016 - 21:42

82

Views

L'Hôpital's rule when lim f′(x)/g′(x) → ±∞

Published on 17 Nov 2016 - 13:04

333

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How to prove unboundedness/divergence of a recursively defined sequence.

Published on 19 Nov 2016 - 17:34

623

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When does $\text{div}(\textbf{G})=0$ imply $\textbf{G}=\text{curl}(\textbf{A})$?

Published on 21 Nov 2016 - 0:52

31

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$(n^{k})$ diverges whenever k is positive.

Published on 21 Nov 2016 - 22:13

127

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Applied Divergence Theorem

Published on 27 Nov 2016 - 22:38

45

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Compute the divergence

Published on 01 Dec 2016 - 2:00

83

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If $\nabla\cdot u=0$, then $\nabla\cdot(u\otimes u)=(u\cdot\nabla)u$. Why does the lhs "make sense for more singular vector fields" than the rhs?

Published on 07 Dec 2016 - 13:25

69

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If $u$ is divergence-free, then $u\cdot\nabla u$ doesn't need to be divergence-free too. Can we fix that?

Published on 10 Dec 2016 - 22:13

229

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Find the divergence of the field F: $\vec{F} = \frac{yj - zk}{\sqrt{y^2+ z^2}}$

Published on 14 Dec 2016 - 18:02

967

Views

Using Divergence theorem to calculate flux

Published on 20 Dec 2016 - 3:05

146

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Open surfaces result coming from vector potential

Published on 21 Dec 2016 - 0:55

505

Views

How do I apply the divergence theorem to this region?

Published on 06 Jan 2017 - 21:32

879

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When the integrand of a surface integral is constant does that mean surface is sphere?

Published on 09 Jan 2017 - 7:07

32

Views

Can normal vector be argument of the vector being surface integrated?

Published on 09 Jan 2017 - 14:57

List Question

How to apply divergence theorem to transform 2D integral to 1D integral?

L'Hôpital's rule when lim f′(x)/g′(x) → ±∞

How to prove unboundedness/divergence of a recursively defined sequence.

When does $\text{div}(\textbf{G})=0$ imply $\textbf{G}=\text{curl}(\textbf{A})$?

$(n^{k})$ diverges whenever k is positive.

Applied Divergence Theorem

Compute the divergence

If $\nabla\cdot u=0$, then $\nabla\cdot(u\otimes u)=(u\cdot\nabla)u$. Why does the lhs "make sense for more singular vector fields" than the rhs?

If $u$ is divergence-free, then $u\cdot\nabla u$ doesn't need to be divergence-free too. Can we fix that?

Find the divergence of the field F: $\vec{F} = \frac{yj - zk}{\sqrt{y^2+ z^2}}$

Using Divergence theorem to calculate flux

Open surfaces result coming from vector potential

How do I apply the divergence theorem to this region?

When the integrand of a surface integral is constant does that mean surface is sphere?

Can normal vector be argument of the vector being surface integrated?

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