Time decay for solutions to the Stokes equations with drift

Abstract

In this note, we study the behaviour of Lebesgue norms $\Vert v(\cdot ,t){\Vert }_p$ of solutions $v$ to the Cauchy problem for the Stokes system with drift $u$, which is supposed to be a divergence free smooth vector valued function satisfying a scale invariant condition.

24 pages