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Steady free convection in a bounded and saturated porous medium

S. Akesbi·B. Brighi·J. -D. Hoernel
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Abstract

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.

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S. Akesbi, B. Brighi, J. -D. Hoernel. 2006-01-10. Steady free convection in a bounded and saturated porous medium. https://arxiv.org/abs/math/0601219

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