May  2003, 3(2): 229-253. doi: 10.3934/dcdsb.2003.3.229

On the Wang Chang-Uhlenbeck equations

1. 

Commissariat à l'Énergie Atomique, 91191 Gif sur Yvette, France

Received  June 2002 Revised  February 2003 Published  February 2003

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.
Citation: Dellacherie Stéphane. On the Wang Chang-Uhlenbeck equations. Discrete & Continuous Dynamical Systems - B, 2003, 3 (2) : 229-253. doi: 10.3934/dcdsb.2003.3.229
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