List questions from vector-fields

597

Views

If $\vec{\nabla} \cdot \vec{V} \neq 0$ at only one point, will this prevent us from saying that $\vec{V}=\vec{\nabla} \times \vec{U}$?

Published on 25 Mar 2026 - 22:06

101

Views

How to show $\vec{\nabla} \cdot \vec{P}=0$ over the whole domain of ${\mathbb R}^3$

Published on 26 Mar 2026 - 4:36

162

Views

Understanding ODE and phase portraits on Manifolds

Published on 27 Nov 2018 - 17:46

1.2k

Views

Weak analogues of gradient, divergence, and curl (collecting examples)

Published on 28 Nov 2018 - 20:13

35

Views

Magnetic field at points on the circuit

Published on 25 Mar 2026 - 8:07

4.3k

Views

Using Stokes's Theorem to Compute the Circulation of a Vector Field over a Triangle in the Plane

Published on 26 Mar 2026 - 1:10

82

Views

Frightening Stokes Theorem Computation

Published on 25 Mar 2026 - 23:35

71

Views

Integral of a 2-Form Over a Certain Region of Integration

Published on 01 Dec 2018 - 0:14

42

Views

Number of independent components of a vector satisfying a differential constraint?

Published on 25 Mar 2026 - 6:04

876

Views

Every submanifold is orientable (co-dimension 1)?

Published on 25 Mar 2026 - 9:23

121

Views

Regularity of a hyper-surface defined through a flow

Published on 03 Dec 2018 - 14:47

439

Views

Stokes' Theorem - Vector Field

Published on 25 Mar 2026 - 12:30

220

Views

n-1 form inducing normal unit vector field

Published on 03 Dec 2018 - 23:24

62

Views

Left inverse of a matrix $3 \times 2$ in $\mathbb{F}_7[x]$

Published on 04 Dec 2018 - 2:27

52

Views

Why is this implying a normal vector field?

Published on 25 Mar 2026 - 8:07

List Question

If $\vec{\nabla} \cdot \vec{V} \neq 0$ at only one point, will this prevent us from saying that $\vec{V}=\vec{\nabla} \times \vec{U}$?

How to show $\vec{\nabla} \cdot \vec{P}=0$ over the whole domain of ${\mathbb R}^3$

Understanding ODE and phase portraits on Manifolds

Weak analogues of gradient, divergence, and curl (collecting examples)

Magnetic field at points on the circuit

Using Stokes's Theorem to Compute the Circulation of a Vector Field over a Triangle in the Plane

Frightening Stokes Theorem Computation

Integral of a 2-Form Over a Certain Region of Integration

Number of independent components of a vector satisfying a differential constraint?

Every submanifold is orientable (co-dimension 1)?

Regularity of a hyper-surface defined through a flow

Stokes' Theorem - Vector Field

n-1 form inducing normal unit vector field

Left inverse of a matrix $3 \times 2$ in $\mathbb{F}_7[x]$

Why is this implying a normal vector field?

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