"Elliptic equation estimating vertical velocity in meteorology"
The omega equation is a culminating result in synoptic-scale meteorology. It is an elliptic partial differential equation, named because its left-hand side produces an estimate of vertical velocity, customarily[1] expressed by symbol , in a pressure coordinate measuring height the atmosphere. Mathematically, , where represents a material derivative. The underlying concept is more general, however, and can also be applied[2] to the Boussinesq fluid equation system where vertical velocity is in altitude coordinate z.
^Cite error: The named reference :0 was invoked but never defined (see the help page).
^Davies, Huw (2015). "The Quasigeostrophic Omega Equation: Reappraisal, Refinements, and Relevance". Monthly Weather Review. 143 (1): 3–25. Bibcode:2015MWRv..143....3D. doi:10.1175/MWR-D-14-00098.1.
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