A kinetic model for approximately isentropic solutions of the Euler equations (Q267498)

In this paper, the author attempts to relax the condition that the limiting kinetic density has the equilibrium shape, by allowing small deviations that are controlled in a suitable way. The model involves a parameter that measures deviation of a kinetic density from the equilibrium distribution. It is shown that, in the vanishing relaxation time limit, the kinetic densities accumulate on a density, that corresponds an approximately isentropic solution of the Euler equations.