25 citations · 36 across the 11 of their papers we have counts for
14 papers · 1 filter
Couette Flow with Robin Boundary Condition (I): the viscosity-independent friction
Siming He, Binqian Niu, Weiren Zhao
This article is the first paper in the series. In this series of articles, we will examine the influence of the friction factor at the solid--fluid boundary on the stability of…
Long-time behaviour of two-dimensional Navier-Stokes equations in the presence of Couette flow on the half plane
Ning Liu, Nader Masmoudi, Weiren Zhao
In this paper, we study the long-time behavior of solutions to the two-dimensional Navier-Stokes equations in the presence of Couette flow on the half plane with Navier-slip bounda…
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^{…
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…
Landau damping, collisionless limit, and stability threshold for the Vlasov-Poisson equation with nonlinear Fokker-Planck collisions
Jacob Bedrossian, Weiren Zhao, Ruizhao Zi
In this paper, we study the Vlasov-Poisson-Fokker-Planck (VPFP) equation with a small collision frequency , exploring the interplay between the regularity and size of p…