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Comptes Rendus Mathématique
Volume 340, n° 1
pages 63-68 (janvier 2005)
Doi : 10.1016/j.crma.2004.10.008
Received : 27 May 2004 ;  accepted : 21 September 2004
Inégalités dʼentropie pour un schéma de relaxation
Entropy inequalities for a relaxation scheme

Christophe Berthon a, b
a MAB, UMR-CNRS 5466, LRC-CEA M03, université Bordeaux I, 351, cours de la libération, 33400 Talence, France 
b INRIA futurs, domaine de Voluceau-Rocquencourt, BP 105, 78153 Le Chesnay cedex, France 


Nous nous intéressons aux inégalités discrètes dʼentropie pour une classe de schémas de relaxation. Après une brève description de la méthode, nous proposons une démonstration directe pour établir les inégalités discrètes dʼentropie. Ces inégalités sont, en fait, la conséquence dʼun principe de minimisation de lʼentropie satisfait par le modèle de relaxation considéré. Ces résultats sont ensuite étendus au modèle aux 10 moments. Pour citer cet article : C. Berthon, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

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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).

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