5 papers · 1 filter
Optimal stability threshold in lower regularity spaces for the Vlasov-Poisson-Fokker-Planck equations
Weiren Zhao, Ruizhao Zi
In this paper, we study the optimal stability threshold for the Vlasov-Poisson equation with weak Fokker-Planck collision. We prove that if the initial perturbation is of size $ν^{…
Corrigendum to "Optimal time-decay estimates for an Oldroyd-B model with zero viscosity [J. Differential Equations, 306(2022), 456--491]"
Jinrui Huang, Yinghui Wang, Huanyao Wen +1
The present note is to make minor correction on the assumption of Theorem 1.2 and its proof in our paper [arXiv:2111.02059, Jinrui Huang, Yinghui Wang, Huanyao Wen and Rizhao Zi, {…
Landau damping and the long-time collisionless limit of the Vlasov-Poisson-Landau Equation
Jacob Bedrossian, Weiren Zhao, Ruizhao Zi
In this paper, we study the Vlasov-Poisson-Landau Equations on with small collision frequency . We prove that for -independent pertur…
Asymptotic stability of the three-dimensional Couette flow for the Stokes-transport equation
Daniel Sinambela, Weiren Zhao, Ruizhao Zi
In this paper, we investigate the asymptotic stability of the three-dimensional Couette flow in a stratified fluid governed by the Stokes-transport equation. We observe that a simi…
Asymptotic Stability of the two-dimensional Couette flow for the Stokes-transport equation in a finite channel
Daniel Sinambela, Weiren Zhao, Ruizhao Zi
We study the Stokes-transport system in a two-dimensional channel with horizontally moving boundaries, which serves as a reduced model for oceanography and sedimentation. The densi…