Discussion
Which mathematical character does the omega equation have?
Answer: A
The omega equation is a three-dimensional elliptic problem, so omega at any point depends on the forcing everywhere, and boundary conditions on the whole domain are required. That is why it must be solved globally rather than integrated locally. The elliptic character also means that positive forcing in one region produces ascent there and compensating descent nearby, which is a physically important consequence. Reading the definition literally, rather than recalling a formula, is the reliable route through questions of this shape.
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