Inégalités d'entropie pour un schéma de relaxation

This work is devoted to the discrete entropy inequalities when considering relaxation schemes. After describing the numerical method, we propose a direct proof to establish the discrete entropy inequalities. In fact, we show that the considered relaxation model satisfies a minimum principle on the entropy. This principle implies the expected inequalities. The work is concluded when applying the above results to the 10 moment model. To cite this article: C. Berthon, C. R. Acad. Sci. Paris, Ser. I 340 (2005).