2 citations · 2 across the 2 of their papers we have counts for
4 papers
Rate of convergence of the Kac particle system for the Boltzmann equation with hard potentials
Chenguang Liu, Liping Xu, An Zhang
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.…
Rate of convergence of the Kac-like particle system
Chenguang Liu, Liping Xu
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 propagatio…
Uniqueness and propagation of chaos for the Boltzmann equation with moderately soft potentials
Liping Xu
We prove a strong/weak stability estimate for the 3D homogeneous Boltzmann equation with moderately soft potentials () using the Wasserstein distance with quadratic cos…
The Multifractal Nature of Boltzmann Processes
Liping Xu
We consider the spatially homogeneous Boltzmann equation for (true) hard and moderately soft potentials. We study the pathwise properties of the stochastic process $(V_t)_{t\geq 0}…