Mathematical fluid dynamics

I don't often write about mathematics here on DTLR, but this piece by Jack Murtagh in Scientific American is a worthy exception, as it pertains to fluid dynamics.  Namely it reports on the work of 3 mathematicians who claim to have found a way to derive the hierarchy of methods for 3 levels of describing fluid motion, the individual particle level, the statistical description of particle behavior of Maxwell and Boltzmann, and the continuum level of the Euler and Navier-Stokes equations.  The mathematicians posted their work to arXiv, so let the peer review proceed.