Rate of convergence of the Kac particle system for the Boltzmann equation with hard potentials

Autor:	Liu, Chenguang, Xu, Liping, Zhang, An
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematical Physics Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this paper, we prove that the Kac stochastic particle system converges to the weak solution of the spatially homogeneous Boltzmann equation for hard potentials and hard spheres. We give, under the initial data with finite exponential moment assumption, an explicit rate of propagation of chaos in squared Wasserstein distance with quadratic cost by using a double coupling technique. Comment: 31
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.04031 Zobrazit plný text záznamu View this record from Arxiv