Discussion
Statement I: Solving for omega needs boundary conditions on the whole domain.
Statement II: A local forcing maximum produces compensating motion in surrounding regions.
In the light of the above statements, choose the correct answer.
Answer: D
Both statements follow from the elliptic character of the omega equation, whose operator acts on the unknown with the forcing on the right hand side. The consequence in each case is that the solution at any point depends on the forcing everywhere, so local forcing produces compensating motion or tendency elsewhere. Both therefore require boundary conditions on the whole domain rather than being integrable point by point.
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