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<p>In this paper, we study the Broadwell kinetic system for four groups of particles with periodic initial data in a weighted 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.</p>

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Secularity Condition for the Broadwell Kinetic System

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • S. A. Dukhnovsky

摘要

In this paper, we study the Broadwell kinetic system for four groups of particles with periodic initial data in a weighted 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.