论文标题
KAC样粒子系统的收敛速率
Rate of convergence of the Kac-like particle system
论文作者
论文摘要
在本文中，我们考虑了与空间均匀的玻尔兹曼方程相关的KAC随机粒子系统，以实现真实的硬势。我们建立了粒子系统混乱的传播速率，以使玻尔兹曼方程的独特解决方案。我们使用概率耦合方法，并在适当的假设下对初始条件进行合适的假设，将粒子系统的经验度量的收敛速率与玻尔兹曼方程解决方案的溶液相互融合。
In this paper, we consider the Kac stochastic particle system associated to the spatially homogeneous Boltzmann equation for true hard potentials. We establish a rate of propagation of chaos of the particle system to the unique solution of the Boltzmann equation. We use a probabilistic coupling method and give, under suitable assumptions on the initial condition, a rate of convergence of the empirical measure of the particle system to the solution of the Boltzmann equation for this singular interaction.
