3 papers
math.AP2024
3D hard sphere Boltzmann equation: explicit structure and the transition process from polynomial tail to Gaussian tail
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
We study the Boltzmann equation with hard sphere in a near-equilibrium setting. The initial data is compactly supported in the space variable and has a polynomial tail in the micro…
math.AP2023
Stability of background perturbation for Boltzmann equation
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
Consider the Boltzmann equation in the perturbation regime. Since the macroscopic quantities in the background global Maxwellian are obtained through measurements, there are typica…
math.AP2021
Space-time behavior of the solution to the Boltzmann equation with soft potentials
Yu-Chu Lin, Ming-Jiea Lyu, Haitao Wang +1
In this paper, we get the quantitative space-time behavior of the full Boltzmann equation with soft potentials () in the close to equilibrium setting, under some velocity d…