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Divergence and curl

  1. Aug 26, 2007 #1
    I am trying to think of a non-constant function whose divergence and curl is 0. It seems like this is impossible to me. Any hints?
  2. jcsd
  3. Aug 26, 2007 #2


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    Well, if the curl is zero, you can write the field as a gradient of some scalar function. So, if the divergence is also zero, what does that tell you? (Hint: Laplace equation)
  4. Aug 26, 2007 #3


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    Potential theory would be dreadfully boring to study if the Laplace equation had only constant solutions..
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