Divergence and curl

  • Thread starter ehrenfest
  • Start date
  • #1
2,012
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?
 

Answers and Replies

  • #2
siddharth
Homework Helper
Gold Member
1,127
0
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)
 
  • #3
arildno
Science Advisor
Homework Helper
Gold Member
Dearly Missed
9,970
132
Potential theory would be dreadfully boring to study if the Laplace equation had only constant solutions..
 

Related Threads on Divergence and curl

  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
3
Views
767
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
2K
Replies
1
Views
2K
  • Last Post
Replies
2
Views
9K
  • Last Post
Replies
4
Views
922
Replies
0
Views
4K
Replies
2
Views
2K
Top