 Solution

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

Use the two-dimensional streamfunction convention

u = ψ_{y}

v = - ψ_{x}

. Here

u = - sin x sin y, v = - cos x cos y .

u_{x} + v_{y} = - cos x sin y + cos x sin y = 0

, so the flow is incompressible.

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