List questions from vector-fields

Published on 28 Jul 2015 - 9:03

193

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Does the concept of Lie derivative by bivector fields exist?

Published on 26 Mar 2026 - 21:12

4.7k

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Showing that $\nabla\times(\nabla\times\vec{A}) = \nabla(\nabla\cdot\vec{A})-\Delta\vec{A}$

Published on 26 Mar 2026 - 19:03

163

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How to use the $b\cdot\nabla$ operator?

Published on 02 Aug 2015 - 16:53

35.5k

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If the curl of some vector function = 0, Is it a must that this vector function is the gradient of some other scalar function?

Published on 10 Aug 2015 - 8:34

637

Views

Proof of the fundamental inequality of the index form

Published on 13 Aug 2015 - 10:03

109

Views

Representing a vector field locally

Published on 20 Aug 2015 - 4:08

70

Views

Relation between integral curves

Published on 20 Aug 2015 - 15:27

158

Views

Vector field on $S^2 \setminus \mathsf{NP}$ looks like a magnetic dipole

Published on 21 Aug 2015 - 7:08

52

Views

Analytic expression of a 1-form

Published on 21 Aug 2015 - 16:05

124

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Understanding the definition of Lie bracket

Published on 22 Aug 2015 - 9:54

2.1k

Views

Show that the outward unit normal is smooth vector field

Published on 28 Aug 2015 - 8:50

152

Views

Using the method of isoclines with logistic equation to create direction field

Published on 30 Aug 2015 - 21:15

115

Views

Special and simplest coordinates for a vector field in a neighborhood of a point

Published on 05 Sep 2015 - 17:57

293

Views

If closed surface integral of cross product of two vectors is zero, what can i know about the vectors?

Published on 15 Sep 2015 - 5:45

List Question

Flow of time-dependent vector field

Does the concept of Lie derivative by bivector fields exist?

Showing that $\nabla\times(\nabla\times\vec{A}) = \nabla(\nabla\cdot\vec{A})-\Delta\vec{A}$

How to use the $b\cdot\nabla$ operator?

If the curl of some vector function = 0, Is it a must that this vector function is the gradient of some other scalar function?

Proof of the fundamental inequality of the index form

Representing a vector field locally

Relation between integral curves

Vector field on $S^2 \setminus \mathsf{NP}$ looks like a magnetic dipole

Analytic expression of a 1-form

Understanding the definition of Lie bracket

Show that the outward unit normal is smooth vector field

Using the method of isoclines with logistic equation to create direction field

Special and simplest coordinates for a vector field in a neighborhood of a point

If closed surface integral of cross product of two vectors is zero, what can i know about the vectors?

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