9 citations · 9 across the 3 of their papers we have counts for
4 papers · 1 filter
Dissipative property of the Vlasov-Maxwell-Boltzmann System with a uniform ionic background
Renjun Duan
In this paper we discuss the dissipative property of near-equilibrium classical solutions to the Cauchy problem of the Vlasov-Maxwell-Boltzmann System in the whole space whe…
Green's function and large time behavior of the Navier-Stokes-Maxwell system
Renjun Duan
In this paper, we are concerned with the system of the compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions.…
Optimal Decay Rates to Conservation Laws with Diffusion-Type Terms of Regularity-gain and Regularity-loss
Renjun Duan, Lizhi Ruan, Changjiang Zhu
We consider the Cauchy problem on nonlinear scalar conservation laws with a diffusion-type source term related to an index over the whole space for any spatial dim…
Global Smooth Flows for the Compressible Euler-Maxwell System: Relaxation Case
Renjun Duan
The Euler-Maxwell system as a hydrodynamic model for plasma physics to describe the dynamics of the compressible electrons in a constant charged non-moving ion background is studie…