3 papers
math.AP2026
Time-periodic solutions of the Boltzmann equation with soft potentials in
Yuanjie Lei, Shuangqian Liu, Jiaying Zhang +1
We establish the existence of time-periodic solutions to the Boltzmann equation for the full range of soft potentials and prove their global stability. The proof relies on refined…
math.AP2025
The non-cutoff Vlasov-Poisson-Boltzmann system with weak collisions
Yuanjie Lei, Shuangqian Liu, Qinghua Xiao +1
We prove global existence of smooth solutions near Maxwellians for the non-cutoff Vlasov-Poisson-Boltzmann system in the weakly collisional regime. To address the weak dissipation…
math.AP2023
Global Hilbert expansion for some non-relativistic kinetic equations
Yuanjie Lei, Shuangqian Liu, Qinghua Xiao +1
The Vlasov-Maxwell-Landau (VML) system and the Vlasov-Maxwell-Boltzmann (VMB) system are fundamental models in dilute collisional plasmas. In this paper, we are concerned with the…