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math.AP2025
Ionic KdV structure in weakly collisional plasmas
Renjun Duan, Zongguang Li, Dongcheng Yang +1
We consider the one-dimensional ions dynamics in weakly collisional plasmas governed by the Vlasov-Poisson-Landau system under the Boltzmann relation with the small collision frequ…
math.AP2023
KdV limit for the Vlasov-Poisson-Landau system
Renjun Duan, Dongcheng Yang, Hongjun Yu
Two fundamental models in plasma physics are given by the Vlasov-Poisson-Landau system and the compressible Euler-Poisson system which both capture the complex dynamics of plasmas…
math.AP2020
Small Knudsen rate of convergence to rarefaction wave for the Landau equation
Renjun Duan, Dongcheng Yang, Hongjun Yu
In this paper, we are concerned with the hydrodynamic limit to rarefaction waves of the compressible Euler system for the Landau equation with Coulomb potentials as the Knudsen num…