On the Wang Chang-Uhlenbeck equations

In this article, we describe the basic properties of the Wang Chang-Uhlenbeck equations. Then, we obtain the classical H-theorem, the Gibbs theorem and the convergence toward an unique maxwellian equilibrium in the spatially homogeneous case. And, by choosing a particular cross sections model, we formally deduce the fluid limit which is the hyperbolic multispecies Euler system closed with a non classical state equation.