3 papers
math.AP2026
Local well-posedness for the Boltzmann equation with hard potentials
Hao-Guang Li, Wei-Xi Li, Chao-Jiang Xu
We consider the spatially inhomogeneous non-cutoff Boltzmann equation with hard potentials in the non-perturbative setting. For initial data with polynomial decay in the velocity v…
math.AP2026
On the radius of analyticity and Gevrey regularity for the Boltzmann equation
Wei-Xi Li, Lvqiao Liu, Hao Wang
This paper investigates the non-cutoff Boltzmann equation for hard potentials in a perturbative setting. We first establish a sharp short-time estimate on the radius of analyticity…
math.AP2024
On the Boltzmann equation with soft potentials: Existence, uniqueness and smoothing effect of mild solutions
Ling-Bing He, Jie Ji, Wei-Xi Li
We consider the spatially inhomogeneous Boltzmann equation without angular cutoff for soft potentials. For any given initial datum such that the mass, energy and entropy densities…