论文标题
严格的二元 - 玻尔兹曼方程的衍生物，用于硬球的密集气体
Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres
论文作者
论文摘要
本文提供了描述密集硬球气体的动力学特性的二元 - 内部玻尔兹曼方程的第一个严格推导，其中粒子经历了二元或三元瞬时相互作用，同时保持动量和能量。我们克服的得出该方程式的一个重要挑战与提供一个数学框架有关，该框架使我们能够检测二进制和三元相互作用。此外，本文介绍了新的代数和几何技术，以最终将二进制和三元相互作用解除，并理解它们能够及时成功的方式。
This paper provides the first rigorous derivation of a binary-ternary Boltzmann equation describing the kinetic properties of a dense hard-spheres gas, where particles undergo either binary or ternary instantaneous interactions, while preserving momentum and energy. An important challenge we overcome in deriving this equation is related to providing a mathematical framework that allows us to detect both binary and ternary interactions. Furthermore, this paper introduces new algebraic and geometric techniques in order to eventually decouple binary and ternary interactions and understand the way they could succeed one another in time.
