Green's theorem

{
  "id": "MLC-T-MET-006066",
  "term": "Green's theorem",
  "field": "Meteorology and atmospheric science",
  "definition": "A mathematical relationship that connects a line integral along a simple, closed, piecewise-smooth curve in a plane to a double integral over the region enclosed by that curve. It is a special two-dimensional case of the more general Stokes' theorem. In atmospheric dynamics, the theorem is applied to fluid flow, where it equates the circulation of a two-dimensional wind field around a closed loop with the integral of the vorticity over the area enclosed by that loop.",
  "url": "https://mlchart.com/terminology/meteorology/green-s-theorem/"
}