当前位置:
X-MOL 学术
›
Phys. Part. Nuclei
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On the Proof of Existence of Microscopic Solutions to the Boltzmann–Enskog Kinetic Equation
Physics of Particles and Nuclei ( IF 0.4 ) Pub Date : 2020-09-17 , DOI: 10.1134/S1063779620040723 A. S. Trushechkin
Physics of Particles and Nuclei ( IF 0.4 ) Pub Date : 2020-09-17 , DOI: 10.1134/S1063779620040723 A. S. Trushechkin
The problem of rigorous substantiation of the so-called microscopic solutions to the Boltzmann–Enskog kinetic equations discovered by N.N. Bogolyubov is considered. The solutions have the form of sums of delta functions and correspond to the reversible dynamics of a finite number of particles. However, the direct substitution of delta functions into the equation is formally incorrect. A regularization of the collision integral is proposed in this paper at which the substitution of delta functions becomes possible.
中文翻译:
关于玻尔兹曼-恩斯科格动力学方程微观解的存在性证明
考虑了由NN Bogolyubov发现的所谓Boltzmann-Enskog动力学方程的微观解的严格证实问题。解具有增量函数之和的形式,并且对应于有限数量的粒子的可逆动力学。但是,将增量函数直接代入方程式在形式上是不正确的。本文提出了碰撞积分的正则化方法,在这种情况下,可以替代三角函数。
更新日期:2020-09-17
中文翻译:
关于玻尔兹曼-恩斯科格动力学方程微观解的存在性证明
考虑了由NN Bogolyubov发现的所谓Boltzmann-Enskog动力学方程的微观解的严格证实问题。解具有增量函数之和的形式,并且对应于有限数量的粒子的可逆动力学。但是,将增量函数直接代入方程式在形式上是不正确的。本文提出了碰撞积分的正则化方法,在这种情况下,可以替代三角函数。