Question

Integrate a vector field over a open dome using the divergence theorem

score 29 · Answer 1 · 2026-02-23 10:01:00

29

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Integrate a vector field over a open dome using the divergence theorem

Published on 23 Feb 2026 - 10:01

score 45 · Answer 2 · 2026-02-23 09:59:54

45

Views

Applying Divergence theorem for 1-Torus

Published on 23 Feb 2026 - 9:59

score 313 · Answer 3 · 2026-02-23 10:02:53

313

Views

Flux of radial vector field through sphere

Published on 23 Feb 2026 - 10:02

score 54 · Answer 4 · 2026-02-23 10:01:24

54

Views

Compute the flow of a vector field through a surface

Published on 23 Feb 2026 - 10:01

score 64 · Answer 5 · 2026-02-23 10:06:00

64

Views

If $\vec F=\frac{\vec r}{r^3}$ then $\exists$ is no $\vec G ∶ \mathbb{R}^3 ⧵ {0} \to \mathbb{R}^3$ such that $\vec F = curl \,\vec G$.

Published on 23 Feb 2026 - 10:06

score 58 · Answer 6 · 2026-02-23 10:07:19

58

Views

The Divergence Theorem - Intuition behind relating divergence with flux

Published on 23 Feb 2026 - 10:07

score 45 · Answer 7 · 2026-02-23 10:03:23

45

Views

Using surface integral to calculate the flux of vector field through two surfaces

Published on 23 Feb 2026 - 10:03

score 67 · Answer 8 · 2026-02-23 10:06:15

67

Views

Why is there a singularity when I apply integration by parts to $\int_\Omega f\Delta f = \int_{\partial\Omega} f\nabla f - \int_\Omega |\nabla f|^2$?

Published on 23 Feb 2026 - 10:06

score 101 · Answer 9 · 2026-02-23 10:01:16

101

Views

Divergence and Stokes theorem, Annulus and Torus, Closed path

Published on 23 Feb 2026 - 10:01

score 47 · Answer 10 · 2026-02-23 09:59:56

47

Views

Need someone to clarify this vector calculus problem

Published on 23 Feb 2026 - 9:59

score 77 · Answer 11 · 2026-02-23 10:07:15

77

Views

Divergence theorem involving continuously differentiable function

Published on 23 Feb 2026 - 10:07

score 48 · Answer 12 · 2026-02-23 10:06:11

48

Views

GIven a surface area F, a normal vector, a point and a vector field, calculate the flow of the vector field through F.

Published on 23 Feb 2026 - 10:06

score 75 · Answer 13 · 2026-02-23 10:07:21

75

Views

Divergence theorem with normal component of a curl to a surface

Published on 23 Feb 2026 - 10:07

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 61 · Answer 15 · 2026-02-23 10:05:58

61

Views

The propagation of the divergence condition in the incompressible Navier-Stokes equation

Published on 23 Feb 2026 - 10:05

List Question

Integrate a vector field over a open dome using the divergence theorem

Applying Divergence theorem for 1-Torus

Flux of radial vector field through sphere

Compute the flow of a vector field through a surface

If $\vec F=\frac{\vec r}{r^3}$ then $\exists$ is no $\vec G ∶ \mathbb{R}^3 ⧵ {0} \to \mathbb{R}^3$ such that $\vec F = curl \,\vec G$.

The Divergence Theorem - Intuition behind relating divergence with flux

Using surface integral to calculate the flux of vector field through two surfaces

Why is there a singularity when I apply integration by parts to $\int_\Omega f\Delta f = \int_{\partial\Omega} f\nabla f - \int_\Omega |\nabla f|^2$?

Divergence and Stokes theorem, Annulus and Torus, Closed path

Need someone to clarify this vector calculus problem

Divergence theorem involving continuously differentiable function

GIven a surface area F, a normal vector, a point and a vector field, calculate the flow of the vector field through F.

Divergence theorem with normal component of a curl to a surface

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

The propagation of the divergence condition in the incompressible Navier-Stokes equation

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