Question

A vector field is Poisson iff its flow is a Poisson diffeomorphism

score 124 · Answer 1 · 2026-03-25 07:49:26

124

Views

A vector field is Poisson iff its flow is a Poisson diffeomorphism

Published on 25 Mar 2026 - 7:49

score 165 · Answer 2 · 2026-03-25 12:48:35

165

Views

An Hamiltonian diffeomorphism is also a Poisson diffeomorphism

Published on 25 Mar 2026 - 12:48

score 66 · Answer 3 · 2026-03-26 20:38:53

66

Views

Combining the two polar Navier-Stokes equations into a single PDE using vorticity and streamfunction

Published on 26 Mar 2026 - 20:38

score 36 · Answer 4 · 2023-09-14 13:42:49

36

Views

Is there any intuitive way to understand the relationship between the definitions of divergence and curl in terms of del and in terms of geometry?

Published on 14 Sep 2023 - 13:42

score 36 · Answer 5 · 2023-09-16 04:19:27

36

Views

There are smooth vector fields along a curve forming a basis of the tangent space at each point

Published on 16 Sep 2023 - 4:19

score 78 · Answer 6 · 2026-03-26 06:29:16

78

Views

Why a vector field on a manifold defines a 1-1 mapping on the manifold?

Published on 26 Mar 2026 - 6:29

score 31 · Answer 7 · 2023-09-20 17:23:06

31

Views

how do i derive different equation from cross product of a curl

Published on 20 Sep 2023 - 17:23

score 45 · Answer 8 · 2026-03-25 22:10:49

45

Views

Is $H(div; \Omega ) \cap H(curl; \Omega )$ compactly embedd in $L^2(\Omega)$?

Published on 25 Mar 2026 - 22:10

score 57 · Answer 9 · 2023-09-22 15:39:49

57

Views

Continuous non-vanishing vector field on annulus shape regions

Published on 22 Sep 2023 - 15:39

score 65 · Answer 10 · 2026-03-29 09:31:47

65

Views

Vector field corresponding to linear ODE on $\mathbb{R}^n$ under coordinate change

Published on 29 Mar 2026 - 9:31

score 17 · Answer 11 · 2026-03-26 04:51:15

17

Views

Locally conjugate diffeomorphisms, but does not take orbits to orbits.

Published on 26 Mar 2026 - 4:51

score 75 · Answer 12 · 2023-09-25 17:57:02

75

Views

If $\vec{\nabla}× \vec{A}$=0, does this qualify as the necessary and sufficient condition for being able to write $\vec{A}=\vec{\nabla}$f?

Published on 25 Sep 2023 - 17:57

score 62 · Answer 13 · 2023-09-26 14:44:28

62

Views

Is a normal vector field surjective?

Published on 26 Sep 2023 - 14:44

score 30 · Answer 14 · 2023-09-28 04:35:14

30

Views

Intuition behind vector field along a local parametrization of a manifold.

Published on 28 Sep 2023 - 4:35

score 32 · Answer 15 · 2026-03-29 23:58:11

32

Views

Normal derivative of normal unit vector

Published on 29 Mar 2026 - 23:58

List Question

A vector field is Poisson iff its flow is a Poisson diffeomorphism

An Hamiltonian diffeomorphism is also a Poisson diffeomorphism

Combining the two polar Navier-Stokes equations into a single PDE using vorticity and streamfunction

Is there any intuitive way to understand the relationship between the definitions of divergence and curl in terms of del and in terms of geometry?

There are smooth vector fields along a curve forming a basis of the tangent space at each point

Why a vector field on a manifold defines a 1-1 mapping on the manifold?

how do i derive different equation from cross product of a curl

Is $H(div; \Omega ) \cap H(curl; \Omega )$ compactly embedd in $L^2(\Omega)$?

Continuous non-vanishing vector field on annulus shape regions

Vector field corresponding to linear ODE on $\mathbb{R}^n$ under coordinate change

Locally conjugate diffeomorphisms, but does not take orbits to orbits.

If $\vec{\nabla}× \vec{A}$=0, does this qualify as the necessary and sufficient condition for being able to write $\vec{A}=\vec{\nabla}$f?

Is a normal vector field surjective?

Intuition behind vector field along a local parametrization of a manifold.

Normal derivative of normal unit vector

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