128 citations · 664 across the 50 of their papers we have counts for
6 papers · 1 filter
The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials
Renjun Duan, Yuanjie Lei, Tong Yang +1
Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593--630], how to establish the global existence of perturbative classical solutions around a global Maxwellian to the…
Decay structure of two hyperbolic relaxation models with regularity-loss
Yoshihiro Ueda, Renjun Duan, Shuichi Kawashima
The paper aims at investigating two types of decay structure for linear symmetric hyperbolic systems with non-symmetric relaxation. Precisely, the system is of the type if…
Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application
Yoshihiro Ueda, Renjun Duan, Shuichi Kawashima
This paper is concerned with the decay structure for linear symmetric hyperbolic systems with relaxation. When the relaxation matrix is symmetric, the dissipative structure of the…
Global stability of the rarefaction wave of the Vlasov-Poisson-Boltzmann system
Renjun Duan, Shuangqian Liu
This paper is devoted to the study of the nonlinear stability of the rarefaction waves of the Vlasov-Poisson-Boltzmann system with slab symmetry in the case where the electron back…
Darcy's law and diffusion for a two-fluid Euler-Maxwell system with dissipation
Renjun Duan, Qingqing Liu, Changjiang Zhu
This paper is concerned with the large-time behavior of solutions to the Cauchy problem on the two-fluid Euler-Maxwell system with collisions when initial data are around a constan…
Stability of rarefaction waves of the Navier-Stokes-Poisson system
Renjun Duan, Shuangqian Liu
In the paper we are concerned with the large time behavior of solutions to the one-dimensional Navier-Stokes-Poisson system in the case when the potential function of the self-cons…