Uhm, no. You do not understand what systems are modelled by the Boltzmann equation, what Lyapunov exponents are nor what "global in time solutions" actually are. Lets pretend that the Boltzmann equation is a good model, on it's own, for atmospheric dynamics. This paper proves global existence of various norms of the solution, so that says that there is no time T less than infinity at which those norms become unbounded. Solution trajectories that start arbitrarily close are allowed to diverge exponentially in time. That is, there can be exponential sensitivity to initial conditions (ie. butterfly effect) with no violation of these results. Someone above mentioned the example y' = y^2, y(0) = 1 which has solutions which become unbounded as t approaches 1 from below. These results rule out that behaviour but not behaviour like y' = y. Solutions here are bounded as t goes to infinity but are bounded for all bounded times. Please, go back to grad school for a few years before claiming to understand what you clearly don't.

OK, why does this argument not also apply to teaching? I am paid to teach and do research from the public purse. My teaching is available to any one who meets certain standards and pays a user fee. Access to data should be the same.

Nonsense. I have much better things to do, like reading and posting on slashdot, than respond or deal with every crack pot who has an axe to grind but has no real idea how to do it. Seriously, you want to analyze the data? Go collect it yourself.

Ants, Bikes and Clocks is a wonderful introduction to applied mathematics via problem solving. Most of the material is calculus free. Students can learn an immense amount about how to approach problems and why they should study math at University. I use this as a supplement in a 200 level modeling class as well as the main text for a section I teach to math high school teachers. I also leave the book with high school classes I visit. It is very well written, approachable and filled with great problems and some hints on how to solve them. Enjoy!