Bubble behavior - the Sun, metals, and beer

So beer and the Sun are really more connected than we thought, eh? Seems the foam of beer behaves very much like the heat granules on the Sun (and the microstructure of metals) that heat our Earth, as described in this recent Nature article abstract (subscribe for the full article).

The article in summary states (with help from the NYTimes writer Kenneth Chang) that the authors have solved the mathematical equations for the time based behavior of 3 dimensional micro-structures. It is based on a theory that van Neumann solved for 2 dimensions more than 50 years ago.

Would this solution work for huge dimensions as well? The average size of a sun granule is equivalent to an Earth continent, but the described behavior sounds the same as for the beer bubbles or molten metal.

This is one of those solutions that sounds like a universal connection, and I hope these folks know about and are speaking with each other since math and astrophysics are very close. In any event you can decide.