The regularity of discrete models of the Boltzmann equation (Q1074452)

The authors show that there exist regular discrete models of the Boltzmann equation, with n moduli of velocities, for any integer \(n\geq 2\). In this view the authors call M the set of velocities, and define the group G of transformations acting in M. R(G) is the set of regular models with the prescribed transformation group G. The authors establish two theorems showing that R(G) contains a model with n moduli of velocities. In fact this note announces results of which the full derivation is given in a paper to appear.