| Abstract: |
| In this talk, 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, while the inviscid damping type decay due to the Couette flow (Y,0,0) together with the damping structure caused by the decreasing background density $\varrho_{\rm s}(Y)$ stabilizes the system. This is based on a joint work with Weiren Zhao and Daniel Sinambela. |
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