3 papers
math.AP2026
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 o…
math.AP2024
Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization
Binqian Niu, Weiren Zhao
In this paper, we improve the size requirement of the perturbations for the asymptotic stability of the Couette flow in stratified fluids governed by the two-dimensional Navier-Sto…
math.AP2024
Enhanced dissipation and blow-up suppression for an aggregation equation with fractional diffusion and shear flow
Niu Binqian, Binbin Shi, Weike Wang
In this paper, we consider an aggregation equation with fractional diffusion and large shear flow, which arise from modelling chemotaxis in bacteria. Without the advection, the sol…