The $H$-theorem and Onsager principle for the stationary Boltzmann's equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 954-964

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Using the kinetic approach, an expression is obtained for the generation of entropy in the problem of external flow past a body. Using the linear Boltzmann equation and the boundary conditions satisfying the reciprocity conditions, the symmetry (the Onsager principle) of the kinetic coefficients in flows is proved.
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     title = {The $H$-theorem and {Onsager} principle for the stationary {Boltzmann's} equation},
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A. M. Bishaev; V. A. Rykov. The $H$-theorem and Onsager principle for the stationary Boltzmann's equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 954-964. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a18/