Abstract
This talk will be devoted to the analysis of the Stokes-transport system in a periodic channel, with non-slip conditions on the domain boundaries. The stability of stratified density profiles will be demonstrated, under assumptions of regularity of the initial data. In addition, we'll identify a mechanism for creating boundary layers on the edges of the domain in large time. This concentration near the edges of the solution limits the rate of solution decay.
This work is in collaboration with Julien Guillod and Antoine Leblond.
