Steady free convection in a bounded and saturated porous medium

Details Steady free convection in a bounded and saturated porous medium Steady free convection in a bounded and saturated porous medium

2006-01-10

arxiv.org/abs/math/0601219v1

Proceedings of the Swiss-Japanese Seminar on Elliptic and Parabolic Issues in Applied Sciences, Zurich, December 2004, pp. 1-1

Mathematics

Analysis of PDEs

Scientific paper

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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