Ah, sweet. We didn't get to talk about this in Complex Variables (MATH 136) because...I didn't go to class that day. Anyway, this is a really sweet thing to do, map your function (or space) to a function (or space) that is easy, and then you get something that is still meaningful (or now has meaning).
This is the kind of question that I hate seeing asked in a course like this where it's not the topic, but what kind of analysis can you do on vortex streets if they are not satisfying Laplace's equation on the interesting side? Do you have to do numerical simulations to find out anything or is there some neat simplification you can do to the N-V equations in order to glean interesting properties like the period, size, or velocity?
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