Structural stability for the Darcy equations of flow in porous media
Authors:
- 8 June 1998
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 454 (1974) , 1691-1698
Abstract
A priori bounds are derived for the Darcy equations of flow in porous media when the porous body is subject to boundary conditions of Newton cooling type. With the aid of these a priori bounds we are able to demonstrate continuous dependence on the cooling coefficient when the boundary condition of Newton cooling type is employed. We further show that the solution depends continuously on a change in the equation of state employed in the body force in the Darcy equation. The model is allowed to change from one of Boussinesq convection type to one more general, and structural stability is established.Keywords
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