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<p>In this paper, we consider the Cauchy problem for the spatially inhomogeneous relativistic Boltzmann equation where the collision kernel is generated by Israel particle. Unique global (in time) classical solution is obtained in a suitable weighted space by considering small initial data and the Bianchi type I space-time as background.</p>

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The Inhomogeneous Boltzmann Equation in a Bianchi Type I Space-Time with Israel Particles

  • 期刊论文

  • 发表日期：

    2025年4月25日

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  • Emmanuel Tchuengue Kamdem,
  • Etienne Takou

摘要

In this paper, we consider the Cauchy problem for the spatially inhomogeneous relativistic Boltzmann equation where the collision kernel is generated by Israel particle. Unique global (in time) classical solution is obtained in a suitable weighted space by considering small initial data and the Bianchi type I space-time as background.