List questions from divergence-operator

Published on 03 Jun 2020 - 1:24

105

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Trying to prove, that $\frac{\partial f}{\partial t} (x,t) - \sum_{i=0}^{n} {\frac{\partial^2 f}{\partial^2 x_{i}}}(x,t) = 0$

Published on 25 Mar 2026 - 13:13

75

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Why is $\int \big( \nabla{p_{1}} \cdot \nabla{p_{2}} \big) = \int s_{1}p_{2}$ when $-\nabla^{2} p_{1} = s_{1}$ and $-\nabla^{2} p_{2} =s_{2}$

Published on 12 Jun 2020 - 22:08

82

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Calculate $\operatorname{div}\left(\frac{x}{\|x\|_{2}}\right)$

Published on 17 Jun 2020 - 18:22

180

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How to show $\Delta f(r) = f''(r) + \frac{2}{r} f'(r)$?

Published on 19 Jun 2020 - 5:11

1.7k

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Calculating radial derivative from Cartesian derivatives

Published on 19 Jun 2020 - 17:05

213

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How to compute the divergence of the function $h(x)=Ax$, where $A$ is a matrix and $x$ is a vector?

Published on 21 Jun 2020 - 12:35

577

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Divergence in local frame

Published on 23 Jun 2020 - 6:15

56

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Finding $\varphi$ that verifies the following conditions

Published on 22 Jul 2020 - 9:43

791

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How to simplify expressions with del (or nabla) in them?

Published on 23 Jul 2020 - 12:37

9.5k

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how far the distribution from the uniform distribution

Published on 13 Jul 2016 - 3:47

2.3k

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Integrate a two form on the sphere

Published on 16 Jul 2016 - 2:53

143

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Generalization of de Rham cohomology, or cohomology for non-smooth case

Published on 26 Jul 2016 - 1:33

53

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If $u:[0,\infty)\times\mathcal V\to\mathbb R^d$ is divergence-free, then $\partial u/\partial t$ is divergence-free too

Published on 26 Mar 2026 - 12:38

81

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Understanding the divergence theorem

Published on 12 Aug 2016 - 17:35

List Question

Divergence of vector-valued function

Trying to prove, that $\frac{\partial f}{\partial t} (x,t) - \sum_{i=0}^{n} {\frac{\partial^2 f}{\partial^2 x_{i}}}(x,t) = 0$

Why is $\int \big( \nabla{p_{1}} \cdot \nabla{p_{2}} \big) = \int s_{1}p_{2}$ when $-\nabla^{2} p_{1} = s_{1}$ and $-\nabla^{2} p_{2} =s_{2}$

Calculate $\operatorname{div}\left(\frac{x}{\|x\|_{2}}\right)$

How to show $\Delta f(r) = f''(r) + \frac{2}{r} f'(r)$?

Calculating radial derivative from Cartesian derivatives

How to compute the divergence of the function $h(x)=Ax$, where $A$ is a matrix and $x$ is a vector?

Divergence in local frame

Finding $\varphi$ that verifies the following conditions

How to simplify expressions with del (or nabla) in them?

how far the distribution from the uniform distribution

Integrate a two form on the sphere

Generalization of de Rham cohomology, or cohomology for non-smooth case

If $u:[0,\infty)\times\mathcal V\to\mathbb R^d$ is divergence-free, then $\partial u/\partial t$ is divergence-free too

Understanding the divergence theorem

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