From the Boltzmann equation to fluid mechanics on a manifold
Philosophical Transactions of the Royal Society of London. A
We perform the transformation from a description of a fluid in terms of particles to a description in terms of average fluid velocity for the case of a fluid moving on an arbitrary curved space - for example a fluid flowing in a curved soap bubble or on the surface of the earth.--author-supplied description
Love, Peter J., and Donato Cianci. "From the Boltzmann equation to fluid mechanics on a manifold." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369.1944 (2011): 2362-2370.