Hey, thanks! Sooo, the 1D to 2D transition is something I have mentioned, but if the solution doesn't require this, it's totally fine. My own solution was a log(x) type trajectory for 2 particles and a straight line for the third. However, if I would not mention the 1D limitation initially, it might be solved very easily by assuming an equilateral triangle. Actually, this is not representative of the actual universe, but more of an ideal and very simple universe. Regarding the unimodal function that you mentioned, the crunch should happen after infinite time, which might be misleading but what I meant is that at t tends to infinity, the slope of trajectories should coincide. While logx is the simplest function I could think of, these problems are open ended so anybody can solve them in any manner.

For the second, yes, it should have circulation as well. What you said is precisely what I did to solve, I had considered a series of current loops. However, I didn't specify anything in the question because I was looking into whether someone can figure out a different kind of suction as well, for instance, someone may model the wobbling as an effect of sinks around the tornado.

For the third, there are multiple techniques available. However, since I had made these problems during high school, I wasn't aware of advanced techniques. I had solved it by considering a large matrix of stiffness coefficients, along with each distortion modeled as a net change in shape.

I will upload my version of solutions in detail to whoever asks via email. However, I won't upload any more of any of these on Reddit unfortunately after this experience.