Laplace equation

{
  "id": "MLC-T-MET-006871",
  "term": "Laplace equation",
  "field": "Meteorology and atmospheric science",
  "definition": "A second-order partial differential equation, ∇²φ = 0, where ∇² is the Laplacian operator and φ is a scalar function. This equation describes steady-state phenomena where there are no sources or sinks, such as the distribution of electric potential in a charge-free region or the steady-state temperature distribution in a medium without heat sources. In meteorology, it can be applied to problems involving potential flow.",
  "see_also": [
    "Poisson equation"
  ],
  "url": "https://mlchart.com/terminology/meteorology/laplace-equation/"
}