1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I What is the gradient of a divergence and is it always zero?

  1. Nov 14, 2017 #1
    Hi Folks,

    Was just curious as to what is the gradient of a divergence is and is it always equal to the zero vector. I am doing some free lance research and find that I need to refresh my knowledge of vector calculus a bit. I am having some difficulty with finding web-based sources for the gradient of a divergence.
     
  2. jcsd
  3. Nov 14, 2017 #2

    fresh_42

    Staff: Mentor

  4. Nov 14, 2017 #3
    Thanks for the info fresh_42. I found those two links very helpful and I solved my problem of the reason for my inquiry.
     
  5. Nov 14, 2017 #4

    Charles Link

    User Avatar
    Homework Helper

    One very important vector identity, (it is used in showing Maxwell's equations result in an electromagnetic wave equation), is ## \nabla \times \nabla \times \vec{A}=\nabla (\nabla \cdot \vec{A})-\nabla^2 \vec{A} ##. For the case that is often shown to demonstrate the wave equation in a vacuum, ## \nabla \cdot \vec{E}=0 ##, but in general, the first term on the right side of the vector identity equation is not equal to zero.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: What is the gradient of a divergence and is it always zero?
  1. What are gradients? (Replies: 3)

  2. What is a gradient (Replies: 0)

Loading...