This article extends the results of Arkeryd and Cercignani [6]. It is shown that the Cauchy problem for the relativistic Enskog equation in a periodic box has a global mild solution if the mass, energy and entropy of the initial data are finite. It is also found that the solutions of the relativistic Enskog equation weakly converge to the solutions of the relativistic Boltzmann equation in L1 if the diameter of the relativistic particle tends to zero.

中文翻译：

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相对论 Enskog 方程的全局存在性

本文扩展了 Arkeryd 和 Cercignani [6] 的结果。结果表明，如果初始数据的质量、能量和熵是有限的，则周期盒中相对论Enskog方程的柯西问题具有全局温和解。还发现如果相对论粒子的直径趋于零，则相对论 Enskog 方程的解在 L1 中弱收敛到相对论 Boltzmann 方程的解。