 Solution

ID: past-exam-of-the-probability-statistics-and-options-i-course-of-the-university-of-oxford/2008/k/1/ii/solution

ω = (0, 0, v_{x} - u_{y}) = (0, 0, 2 sin x cos y) = (0, 0, 2 ψ) .

It is generally nonzero, so this is a rotational flow even though it has a streamfunction.

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