127 citations · 678 across the 64 of their papers we have counts for
4 papers · 2 filters
Global solutions to the Vlasov-Poisson-Landau System
Renjun Duan, Tong Yang, Huijiang Zhao
Based on the recent study on the Vlasov-Poisson-Boltzmann system with general angular cutoff potentials [3, 4], we establish in this paper the global existence of classical solutio…
The Vlasov-Poisson-Boltzmann System for Soft Potentials
Renjun Duan, Tong Yang, Huijiang Zhao
An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma r…
The Limit of the Boltzmann Equation to the Euler Equations for Riemann Problems
Feimin Huang, Yi Wang, Yong Wang +1
The convergence of the Boltzmann equaiton to the compressible Euler equations when the Knudsen number tends to zero has been a long standing open problem in the kinetic theory. In…
Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2
In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every weak solution to the Cauchy problem with finite moments of…