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math.AP2026
Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the modified Vlasov-Poisson-Boltzmann System
Yanchao Li, Mingying Zhong
In the present paper, we study the diffusion limit of the classical solution to the modified Vlasov-Poisson-Boltzmann (mVPB) System with initial data near a global Maxwellian. Base…
math.AP2026
Green's Function and Pointwise Space-time Behaviors of the three-Dimensional modified Vlasov-Poisson-Boltzmann System
Yanchao Li, Luobin Qiu, Mingying Zhong
The pointwise space-time behavior of the Green's function of the three-dimensional modified Vlasov-Poisson-Boltzmann system is studied in this paper. It is shown that the Green's f…
math.AP2024
Green's Function and Pointwise Space-time Behaviors of the Three-Dimensional Relativistic Boltzmann Equation
Yanchao Li, Mingying Zhong
The pointwise space-time behavior of the Green's function of the three-dimensional relativistic Boltzmann equation is studied in this paper. It is shown that the Green's function h…