Helmholtz's theorem

{
  "id": "MLC-T-MET-006226",
  "term": "Helmholtz's theorem",
  "field": "Meteorology and atmospheric science",
  "definition": "A fundamental theorem in vector calculus that states any sufficiently smooth, rapidly decaying vector field can be uniquely decomposed into the sum of an irrotational (curl-free) component and a solenoidal (divergence-free) component. In meteorology, this theorem is applied to decompose atmospheric velocity fields into their divergent and rotational parts, aiding in the analysis of atmospheric flow.",
  "url": "https://mlchart.com/terminology/meteorology/helmholtz-s-theorem/"
}