Geodesic
Study of spatial relaxation by means of solving a kinetic equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 131-141

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Nonuniform spatial relaxation is studied by solving a kinetic equation. Both analytical and numerical methods are used in the study. The collision term is used in a model form that makes it possible to find conditions for the nonequilibrium boundary function that ensure anomalous transport of nonequilibrium momentum and energy. Specifically, the temperature gradient has the same sign as the heat flux, but this does not contradict the traditional macroscopic description, since relaxation occurs in a zone of the order of the mean free path. Versions of such nonequilibrium heating or cooling in a downstream region are presented. 
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     author = {V. V. Aristov and M. V. Panyashkin},
     title = {Study of spatial relaxation by means of solving a~kinetic equation},
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V. V. Aristov; M. V. Panyashkin. Study of spatial relaxation by means of solving a kinetic equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 131-141. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a9/