3 papers
math.AP2025
Classical limit of the relativistic Vlasov-Maxwell-Landau system
Chuqi Cao, Ling-Bing He, Yuanjie Lei +1
The physical essence of the non-relativistic limit, from the relativistic Vlasov-Maxwell-Landau system to the Vlasov-Poisson-Landau system, lies in the transition from finite-speed…
math.AP2024
On Landau equation with harmonic potential: nonlinear stability of time-periodic Maxwell-Boltzmann distributions
Chuqi Cao, Ling-Bing He, Jie Ji
We provide the first and rigorous confirmations of the hypotheses by Ludwig Boltzmann in his seminal paper \cite{Boltzmann} within the context of the Landau equation in the presenc…
math.AP2024
The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian
Chuqi Cao, Dingqun Deng, Xingyu Li
In this work, we consider the Vlasov-Poisson-Boltzmann system without angular cutoff and the Vlasov-Poisson-Landau system with Coulomb potential near a global Maxwellian . We e…