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<p><i>We study the stabilization rate of periodic perturbations of the equilibrium position for discrete kinetic equations in the model case of the two-dimensional Broadwell system. We propose a method for identifying a subset of periodic initial data for which the solution to the Cauchy problem for the Broadwell system with the corresponding periodic initial data</i> (<i>periodicperturbationsoftheequilibriumposition</i>) <i>exponentially stabilizes to equilibrium state. Bibliography</i>&#xa0;:&#xa0; 9 <i>titles</i>. <i>Illustrations</i>&#xa0;:&#xa0; 1 <i>figure</i>.</p>

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INSTABILITY OF EQUILIBRIUM POSITIONS OF TWO-DIMENSIONAL KINETIC BROADWELL EQUATION. EXPONENTIAL STABILIZATION OF REGULAR PERIODIC EQUILIBRIUM POSITIONS

  • 期刊论文

  • 发表日期：

    2026年5月30日

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  • E. V. Radkevich,
  • O. A. Vasil’eva,
  • G. A. Filippov

摘要

We study the stabilization rate of periodic perturbations of the equilibrium position for discrete kinetic equations in the model case of the two-dimensional Broadwell system. We propose a method for identifying a subset of periodic initial data for which the solution to the Cauchy problem for the Broadwell system with the corresponding periodic initial data (periodicperturbationsoftheequilibriumposition) exponentially stabilizes to equilibrium state. Bibliography :  9 titles. Illustrations :  1 figure.