2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107472In this paper we are interested with a strongly coupled system of partial differential equations that modelizes free convection in a two-dimensional bounded domain filled with a fluid saturated porous medium. This model is inspired by the one of free convection near a semi-infinite impermeable vertical flat plate embedded in a fluid saturated porous medium. We establish the existence and uniqueness of the solution for small data in some unusual spaces.Analysis of PDEs34B15, 34B40, 35Q35, 76R10, 76S05text