Steady free convection in a bounded and saturated porous medium

S. Akesbi (1) , B. Brighi (1) , J. -D. Hoernel (2)

1 LMIA - Laboratoire de Mathématiques Informatique et Applications [UHA]
2 TECHNION - Department of Mathematics

In 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.

Mots clés: Free convection; porous medium; coupled pdes

Domaines: Equations aux dérivées partielles [math.AP]

S. Akesbi, B. Brighi, J. -D. Hoernel. Steady free convection in a bounded and saturated porous medium. 2006, pp.1-17. ⟨hal-00017454⟩