Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2025, Volume 238, Pages 49–58
DOI: https://doi.org/10.36535/2782-4438-2025-238-49-58 (Mi into1329) 		 
Secularity condition for the Broadwell kinetic system

S. A. Dukhnovskii

Moscow State University of Civil Engineering
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DOI: https://doi.org/10.36535/2782-4438-2025-238-49-58
Abstract: 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
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 291, Issue 3, Pages 381–390
DOI: https://doi.org/10.1007/s10958-025-07818-w
Document Type: Article
UDC: 517.958:531.332
MSC: 35L45, 35L60, 35Q20
Language: Russian
Citation: S. A. Dukhnovskii, “Secularity condition for the Broadwell kinetic system”, Proceedings of the 6th International Conference "Dynamic Systems and Computer Science: Theory and Applications" (DYSC 2024). Irkutsk, September 16-20, 2024. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 238, VINITI, Moscow, 2025, 49–58; J. Math. Sci. (N. Y.), 291:3 (2025), 381–390
Citation in format AMSBIB
\Bibitem{Duk25}
\by S.~A.~Dukhnovskii
\paper Secularity condition for the Broadwell kinetic system
\inbook Proceedings of the 6th International Conference "Dynamic Systems and Computer Science: Theory and Applications" (DYSC 2024). Irkutsk, September 16-20, 2024. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2025
\vol 238
\pages 49--58
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1329}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 291
\issue 3
\pages 381--390
\crossref{https://doi.org/10.1007/s10958-025-07818-w}
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