Asymptotic stability of the three-dimensional Couette flow for the
Stokes-transport equation
Asymptotic stability of the three-dimensional Couette flow for the
Stokes-transport equation
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 similar lift-up effect to the three-dimensional Navier-Stokes equation near Couette flow destabilizes the system. We find that the inviscid damping type decay due to …