A function satisfying = 0 is called harmonic. (a) Show that = div() for any function
Chapter 17, Problem 35(choose chapter or problem)
A function satisfying = 0 is called harmonic. (a) Show that = div() for any function . (b) Show that is harmonic if and only if div() = 0. (c) Show that if F is the gradient of a harmonic function, then curl(F) = 0 and div(F) = 0. (d) Show that F(x, y, z) = xz, yz, 1 2 (x2 y2) is the gradient of a harmonic function. What is the flux of F through a closed surface?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer