Boltzmann kinetic equation is put into the form of an abstract time evolution equation representing links connecting autonomous mesoscopic dynamical theories involving varying amount of details. In the chronological order we present results that led to the abstract time equation evolution in both state space and the space of vector fields. In the final section we list some open problems.

中文翻译：

---

多尺度理论

玻尔兹曼动力学方程以抽象时间演化方程的形式出现，表示连接涉及不同细节的自主介观动力学理论的链接。按照时间顺序，我们展示了导致状态空间和向量场空间中抽象时间方程演化的结果。在最后一节中，我们列出了一些未解决的问题。