It’s a been a rough week for me…

Oh…hey.

Last week has been challenging for me. My adviser has been planning to move schools and last week I heard back that his new school doesn’t have any visiting positions for grad students. I guess that means my adviser will be moving on without me.

Continue reading It’s a been a rough week for me…

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A conservation of momentum explanation for why Euler flows are mean zero

Something that I often need to do in my convex integration calculations is justify why I can uniquely solve the inverse divergence. For example if we want to solve for a v such that

div v = f

where f is some given scalar valued function, if it’s possible to solve this (which it is for my fluid equations i.e. Euler 2-d, 3-d, and SQG) any solution v can have a constant vector added to it and still be a solution.

Continue reading A conservation of momentum explanation for why Euler flows are mean zero

An odd link I found to the prelims at another University

Years ago, when I was surfing the web for math prelim study guides I found this link of Princeton’s Math Prelims. Apparently, at this elite school the aspiring grad students are expected to take an oral exam in which three Professors (who are usually some of the best in their fields) take turns quizzing students on results from their respective fields. Pretty scary, right?

Continue reading An odd link I found to the prelims at another University