论文标题
多原子气体的相对论动力学理论：矩和定性分析的新层次结构的经典限制
Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis
论文作者
论文摘要
考虑了多原子气体的动力学理论的相对论版本，并提出了矩的新层次结构，考虑到由剩余能量组成的总能量和分子内部模式的能量。在第一部分中，我们通过经典限制证明，截断的时刻系统决定了经典框架中矩的精确层次结构。在第二部分中，我们考虑了在平衡状态附近通过最大熵原理封闭的十五时刻的特定物理情况。我们证明，这种对称双曲线系统满足了某些定理的所有一般假设，这些假设可以保证整体存在平滑解决方案，以足够小的初始数据。
A relativistic version of the Kinetic Theory for polyatomic gas is considered and a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal modes is presented. In the first part, we prove via classical limit that the truncated system of moments dictates a precise hierarchy of moments in the classical framework. In the second part, we consider the particular physical case of fifteen moments closed via Maximum Entropy Principle in a neighborhood of equilibrium state. We prove that this symmetric hyperbolic system satisfies all the general assumption of some theorems that guarantee the global existence of smooth solutions for initial data sufficiently small.
