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.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Flow of a vector field

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