Stability of the Rarefaction Wave of the Vlasov--Poisson--Boltzmann System

R Duan, S Liu - SIAM Journal on Mathematical Analysis, 2015 - SIAM
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 …

Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation

L Zhang, H Zhao, Q Zhao - SIAM Journal on Mathematical Analysis, 2022 - SIAM
We show in this paper that rarefaction waves of the one-dimensional compressible Navier--
Stokes--Poisson system are time-asymptotically nonlinear stable both for the two-fluid case …

Stability of the rarefaction wave for a two-fluid plasma model with diffusion

RJ Duan, SQ Liu, HY Yin, CJ Zhu - Science China Mathematics, 2016 - Springer
We study the large-time asymptotics of solutions toward the weak rarefaction wave of the
quasineutral Euler system for a two-fluid plasma model in the presence of diffusions of …

Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier–Stokes–Poisson system

H Yin, J Zhang, C Zhu - Nonlinear Analysis: Real World Applications, 2016 - Elsevier
This paper is concerned with the study of nonlinear stability of superposition of boundary
layer and rarefaction wave on the two-fluid Navier–Stokes–Poisson system in the half line …

Asymptotic stability of shock profiles and rarefaction waves to the Navier-Stokes-Poisson system under space-periodic perturbations

Y Li, Y Mei, Y Yuan - arXiv preprint arXiv:2308.15750, 2023 - arxiv.org
This paper concerns with the large-time behaviors of the viscous shock profile and
rarefaction wave under initial perturbations which tend to space-periodic functions at …

Asymptotic stability of the stationary wave for the quantum Navier–Stokes–Poisson system

Q Wu, X Hou - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
We shall investigate the asymptotic behavior of solutions to the Cauchy problem for the three-
dimensional quantum Navier–Stokes–Poisson system. We first establish the stationary …

[HTML][HTML] Stability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier–Stokes–Poisson system

H Hong, X Shi, T Wang - Journal of Differential Equations, 2018 - Elsevier
In this paper, we study the asymptotic behavior of solution to the initial boundary value
problem for the two-fluid non-isentropic Navier–Stokes–Poisson system in a half line (0,∞) …

Large-time behavior of solutions to the bipolar quantum Navier–Stokes–Poisson equations

Q Wu - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
This paper is concerned with the large-time behavior of smooth solutions to the Cauchy
problem for the three-dimensional bipolar quantum Navier–Stokes–Poisson equations. First …

Asymptotics toward a nonlinear wave for an outflow problem of a model of viscous ions motion

Y Li, P Zhu - Mathematical Models and Methods in Applied …, 2017 - World Scientific
We shall investigate the asymptotic stability, toward a nonlinear wave, of the solution to an
outflow problem for the one-dimensional compressible Navier–Stokes–Poisson equations …

Stability of the superposition of rarefaction wave and contact discontinuity for the non‐isentropic Navier–Stokes–Poisson system

L Ruan, H Yin, C Zhu - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
This paper is devoted to the study of the nonlinear stability of the composite wave consisting
of a rarefaction wave and a viscous contact discontinuity wave of the non‐isentropic Navier …