On the convergence of the solution of the transport equation in a periodic porous medium of a passive solute, when convection and diffusion balance each other at microscopiclevel and the flow is a Stokes flow

Abstract

In this paper, we show that, if convection and diffusion balance each other at microscopic level, then the solution of the microscopic transport equation of a passive solute strongly converges to the weak solution of the macroscopic transport equation of the solute.