From a Kac Particle System to the Homogeneous Boltzmann Equation for Hard Potentials
发布时间:2024年09月30日
浏览次数:31
发布者: Xiaoni Tan
主讲人: Chenguang Liu (Technische Universiteit Delft, Netherlands)
活动时间: 从 2024-10-10 16:00 到 17:00
场地: Online
Abstract: In this talk, we consider the Kac stochastic particle system linked to the spatially homogeneous Boltzmann equation for true hard potentials. We derive a rate of propagation of chaos, demonstrating the convergence of the particle system to the unique solution of the Boltzmann equation. Specifically, we provide estimates for the expectation of the squared Wasserstein distance, with a quadratic cost, between the empirical measure of the particle system and the Boltzmann solution. This presentation is based on joint work with Liping Xu and An Zhang.
Tencent meeting: https://meeting.tencent.com/dm/7gFBmD4JLQjJ
ID: 469-554-134
Password: 101012