论文标题
BGK方程的粒子近似
Particle approximation of the BGK equation
论文作者
论文摘要
在本文中，我们证明了合适的粒子系统向BGK模型的收敛性。更确切地说，我们考虑了一个相互作用的随机粒子系统，在该系统中，每个粒子都可以在该系统中立即在本地热量化。我们表明，在适当的缩放限制下，混乱的传播确实存在，并且一颗粒子分布函数会收敛到BGK方程的溶液。
In this paper we prove the convergence of a suitable particle system towards the BGK model. More precisely, we consider an interacting stochastic particle system in which each particle can instantaneously thermalize locally. We show that, under a suitable scaling limit, propagation of chaos does hold and that the one-particle distribution function converges to the solution of the BGK equation.
