Helmholtz decomposition

In physics and mathematics, the Helmholtz decomposition theorem or the fundamental theorem of vector calculus[1][2][3][4][5][6][7] states that certain differentiable vector fields can be resolved into the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field. In physics, often only the decomposition of sufficiently smooth, rapidly decaying vector fields in three dimensions is discussed. It is named after Hermann von Helmholtz.

  1. ^ Cite error: The named reference murray1898 was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference gibbs1901 was invoked but never defined (see the help page).
  3. ^ Cite error: The named reference heaviside1893 was invoked but never defined (see the help page).
  4. ^ Cite error: The named reference woolhouse1854 was invoked but never defined (see the help page).
  5. ^ Cite error: The named reference johnson1881 was invoked but never defined (see the help page).
  6. ^ Cite error: The named reference shaw1922 was invoked but never defined (see the help page).
  7. ^ Cite error: The named reference edwards1922 was invoked but never defined (see the help page).

From Wikipedia, the free encyclopedia · View on Wikipedia

Developed by razib.in