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divergence-free and conservative components of a vector field?



 
 
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Old November 2nd 03 posted to sci.physics
student
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Default divergence-free and conservative components of a vector field?

On Sun, 2 Nov 2003 08:31:03 -0500, Lacustral wrote:
if you have a vector field in R^n, can you express it as the sum of two
vector fields, one of which has divergence 0 and one which is
conservative, i.e. it's the gradient of a scalar function?

thanks
Laura

See Helmhotzs Theorem
http://mathworld.wolfram.com/HelmholtzsTheorem.html
Of course, the derivatives have to exist in the first place...
-- student


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