Geodesic
Existence and stability analysis for the Carleman kinetic system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 2076-2087 
O. V. Ilyin. Existence and stability analysis for the Carleman kinetic system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 2076-2087. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A global existence theorem for the discrete Carleman system in the Sobolev class $W^{1,2}$ is proved by the Leray–Schauder topological degree method, which was not previously applied to discrete kinetic equations. The instability of the nonequilibrium steady flow on a bounded interval is established in the linear approximation.

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