List questions from vector-fields

Published on 31 Aug 2021 - 16:23

1k

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Rotate vector field around the x axis by 90 degrees clockwise

Published on 01 Sep 2021 - 4:34

226

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Formula for curl in polar coordinates using covariant differentiation

Published on 01 Sep 2021 - 7:38

56

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Is $(-y,x)/\sqrt{x^2+y^2}$ in $[W^{1,\infty}([0,1]^2)]^2$

Published on 30 Mar 2026 - 4:21

134

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Is the Lie algebra of vector fields over a circle a simple Lie algebra?

Published on 04 Sep 2021 - 11:26

79

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Is a continuous and strictly increasing vector-field also bijective?

Published on 04 Sep 2021 - 16:02

50

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Linearisability of Holomorphic Vector Fields and Poincaré-Dulac Normal Form

Published on 04 Apr 2026 - 17:19

140

Views

Why is this vector field equal to zero

Published on 05 Sep 2021 - 19:04

127

Views

Let $F$ be a gradient field. Prove that if $fF$ is conservative, then $f$ has the same level surfaces as a potential for $F$

Published on 06 Sep 2021 - 5:13

134

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How can I prove certain properties of these vector fields on $S^3$?

Published on 08 Sep 2021 - 2:19

19

Views

Circulation of a vector field from point $A(1,1,1)$ to $B(2,2,2)$ in a straight conture

Published on 08 Sep 2021 - 19:23

31

Views

Computing the vector field in the spherical coordinates

Published on 08 Sep 2021 - 22:43

453

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Composition of flow maps of Hamiltonian systems

Published on 25 Mar 2026 - 20:19

1.6k

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Divergence of a radial vector field

Published on 26 Mar 2026 - 13:48

68

Views

Extending vector fields on algebraic varieties

Published on 14 Sep 2021 - 9:36

List Question

Analytic solution to the following system of PDE

Rotate vector field around the x axis by 90 degrees clockwise

Formula for curl in polar coordinates using covariant differentiation

Is $(-y,x)/\sqrt{x^2+y^2}$ in $[W^{1,\infty}([0,1]^2)]^2$

Is the Lie algebra of vector fields over a circle a simple Lie algebra?

Is a continuous and strictly increasing vector-field also bijective?

Linearisability of Holomorphic Vector Fields and Poincaré-Dulac Normal Form

Why is this vector field equal to zero

Let $F$ be a gradient field. Prove that if $fF$ is conservative, then $f$ has the same level surfaces as a potential for $F$

How can I prove certain properties of these vector fields on $S^3$?

Circulation of a vector field from point $A(1,1,1)$ to $B(2,2,2)$ in a straight conture

Computing the vector field in the spherical coordinates

Composition of flow maps of Hamiltonian systems

Divergence of a radial vector field

Extending vector fields on algebraic varieties

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