List questions from vector-fields

Published on 24 Jan 2020 - 18:56

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Exercise on life of maximal solutions of ODE

Published on 25 Jan 2020 - 17:27

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Given a point $p\in M$ and a tangent vector $v \in T_p M$, is there a smooth vector field $X$ on $M$ such that $X(p)=v$?

Published on 27 Mar 2026 - 10:13

145

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The out-flux of the vector field $F(x,y,z)=(-sin(2x)+ye^(3z),-(y+1)^2,2z(y+cos(2x)+3)$

Published on 27 Mar 2026 - 23:48

62

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Integral curves for $\vec X=\big(x\ln(x),-y\ln(y)\big)$

Published on 29 Jan 2020 - 15:03

201

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How to code split-step Fourier method in Matlab?

Published on 30 Jan 2020 - 11:22

351

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Does it look like the correct 3D phase portrait?

Published on 01 Feb 2020 - 8:03

103

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The coincidence of permutations

Published on 03 Feb 2020 - 0:28

398

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The Lie derivative of a vector field with respect to another is the Lie bracket. Where is this useful?

Published on 26 Mar 2026 - 3:01

494

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Finding the flow of a vector field

Published on 06 Feb 2020 - 19:40

7.1k

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prove that $\det(ABC) = \det(A) \det(B) \det(C)$ [for any $n×n$ matrices $A$, $B$, and $C$].

Published on 07 Feb 2020 - 0:46

878

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Left Invariant smooth vector field on a Lie Group is complete

Published on 07 Feb 2020 - 17:39

121

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closed integral curves and conservative fields

Published on 07 Feb 2020 - 23:52

70

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Line integrals of the vector field $F(x,y)=\left( \frac{y}{x^2 + 4y^2}, \frac{-x}{x^2 + 4y^2}+z, \ y\right)$

Published on 09 Feb 2020 - 8:51

595

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Contact vector field

Published on 28 Mar 2026 - 10:42

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Line integral of vector field when Stokes' theorem cannot be applied directly

Exercise on life of maximal solutions of ODE

Given a point $p\in M$ and a tangent vector $v \in T_p M$, is there a smooth vector field $X$ on $M$ such that $X(p)=v$?

The out-flux of the vector field $F(x,y,z)=(-sin(2x)+ye^(3z),-(y+1)^2,2z(y+cos(2x)+3)$

Integral curves for $\vec X=\big(x\ln(x),-y\ln(y)\big)$

How to code split-step Fourier method in Matlab?

Does it look like the correct 3D phase portrait?

The coincidence of permutations

The Lie derivative of a vector field with respect to another is the Lie bracket. Where is this useful?

Finding the flow of a vector field

prove that $\det(ABC) = \det(A) \det(B) \det(C)$ [for any $n×n$ matrices $A$, $B$, and $C$].

Left Invariant smooth vector field on a Lie Group is complete

closed integral curves and conservative fields

Line integrals of the vector field $F(x,y)=\left( \frac{y}{x^2 + 4y^2}, \frac{-x}{x^2 + 4y^2}+z, \ y\right)$

Contact vector field

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