Steady free convection in a bounded and saturated porous medium
Analysis of PDEs
2007-05-23 v1
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.
Cite
@article{arxiv.math/0601219,
title = {Steady free convection in a bounded and saturated porous medium},
author = {S. Akesbi and B. Brighi and J. -D. Hoernel},
journal= {arXiv preprint arXiv:math/0601219},
year = {2007}
}