Geodesic
Secularity condition for the Broadwell kinetic system
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 6th International Conference "Dynamic Systems and Computer Science: Theory and Applications" (DYSC 2024). Irkutsk, September 16-20, 2024. Part 1, Tome 238 (2025), pp. 49-58

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In this paper, we study the Broadwell kinetic system for four groups of particles with periodic initial data in a weight space. The solution is sought in a neighborhood of the equilibrium state. The perturbation is expanded in a Fourier series. Conditions for local equilibria for solutions of the Cauchy problem are found.
Keywords: Broadwell kinetic system, Fourier series, weighted space, Cauchy problem 
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     title = {Secularity condition for the {Broadwell} kinetic system},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {238},
     year = {2025},
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S. A. Dukhnovskii. Secularity condition for the Broadwell kinetic system. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 6th International Conference "Dynamic Systems and Computer Science: Theory and Applications" (DYSC 2024). Irkutsk, September 16-20, 2024. Part 1, Tome 238 (2025), pp. 49-58. http://geodesic.mathdoc.fr/item/INTO_2025_238_a3/