Asymptotic Stability of the two-dimensional Couette flow for the
Stokes-transport equation in a finite channel
Asymptotic Stability of the two-dimensional Couette flow for the
Stokes-transport equation in a finite channel
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 density is transported by the velocity field, satisfying the momentum balance between viscosity, pressure, and gravity effects, described by the Stokes equation at any given time. …