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In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the compactness of the associated linearized Boltzmann operator, and briefly investigate the mixture case. Eventually, with a specific collision kernel, we present a discussion about the physical relevance of the assumptions used to obtain the compactness results.

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Compactness of Linearized Boltzmann Operators for Polyatomic Gases

  • 会议论文

  • 发表日期：

    2026年

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  • Niclas Bernhoff,
  • Laurent Boudin,
  • Milana Čolić,
  • Bérénice Grec

摘要

In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the compactness of the associated linearized Boltzmann operator, and briefly investigate the mixture case. Eventually, with a specific collision kernel, we present a discussion about the physical relevance of the assumptions used to obtain the compactness results.