List questions from vector-fields

598

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 10 May 2026 - 15:52

103

Views

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

Published on 14 Apr 2026 - 17:55

165

Views

Understanding ODE and phase portraits on Manifolds

Published on 11 Apr 2026 - 12:18

1.2k

Views

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

Published on 16 Apr 2026 - 7:44

40

Views

Magnetic field at points on the circuit

Published on 11 May 2026 - 6:34

4.3k

Views

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

Published on 11 May 2026 - 2:15

85

Views

Frightening Stokes Theorem Computation

Published on 11 May 2026 - 1:01

74

Views

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

Published on 12 Apr 2026 - 11:46

45

Views

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

Published on 10 May 2026 - 19:42

879

Views

Every submanifold is orientable (co-dimension 1)?

Published on 10 May 2026 - 19:05

124

Views

Regularity of a hyper-surface defined through a flow

Published on 18 Apr 2026 - 15:08

443

Views

Stokes' Theorem - Vector Field

Published on 10 May 2026 - 18:30

223

Views

n-1 form inducing normal unit vector field

Published on 14 Apr 2026 - 12:41

64

Views

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

Published on 17 Apr 2026 - 23:58

54

Views

Why is this implying a normal vector field?

Published on 16 Apr 2026 - 4:02

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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