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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2025 Volume 65, Number 11, Pages 1899–1907 (Mi zvmmf12089)

Mathematical physics

On the fulfillment of the H-theorem for the S-model kinetic equation

V. V. Aristov, S. A. Zabelok, O. A. Rogozin

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow

Abstract: The H-function, specifically defined for the S-model kinetic equation, is studied for various physical situations. Spatially homogeneous relaxation is considered. A fairly broad class of initial conditions is investigated. It is shown numerically that the H-theorem is valid for them.

Key words: Boltzmann equation, kinetic theory, S-model equation, H-theorem.

UDC: 519.635

Received: 04.07.2025
Revised: 22.07.2025
Accepted: 22.08.2025

DOI: 10.7868/S3034533225110108


 English version:
Computational Mathematics and Mathematical Physics, 2025, 65:11, 2682–2690

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© Steklov Math. Inst. of RAS, 2026