Divergence theorem

{
  "id": "MLC-T-MET-005086",
  "term": "Divergence theorem",
  "field": "Meteorology and atmospheric science",
  "definition": "A mathematical theorem, also known as Gauss's theorem, that connects the outward flow of a vector field across a closed surface to the behavior of the field inside the surface. It states that the surface integral of the normal component of a vector field over a closed surface equals the volume integral of the divergence over the region enclosed. The theorem is used in atmospheric science to relate mass flux into a volume of air to changes in air density within it.",
  "synonyms": [
    "Gauss ’s theorem"
  ],
  "url": "https://mlchart.com/terminology/meteorology/divergence-theorem/"
}