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Flow of a vector field

  1. Oct 29, 2008 #1
    Hello, I am having a lot of trouble finding a definition of a flow generated by a vector field. I can't seem to find a good definition anywhere. I only need a basic definition, and a basic approach to calculating the flow generated by a vector field.
    For example, Let U = R2 , x = x(u, v, 0). Let M = x(U). Let V be a vector field who's coordinate expression is as follows: V(hat) = (v,u). What is the flow generated by V. I am only looking at curves and surfaces in R3. Any help would be greatly appreciated.
     
  2. jcsd
  3. Oct 29, 2008 #2

    tiny-tim

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    Hello ductape! :smile:

    I don't think there's such a thing as a flow generated by a vector field …

    the vector field is the flow …

    for example, the vector field (u,v) would be radial.

    I don't understand V(hat) = (v,u) either. V(hat) usually means a unit vector, and (v,u) isn't a unit vector. :confused:

    If it was V = (v,u), then that would be the flow whose vector is (v,u) at every point (u,v). :smile:
     
  4. Oct 29, 2008 #3

    mathwonk

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    read arnol'd
     
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