Stabilization estimates for penetrative motions in porous media
Author:
- 1 January 1994
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 17 (1) , 11-20
Abstract
The physical model for penetrative convection in porous media is here considered to study the effects of variation of the source parameters on the flow. In this note we study the continuous dependence upon the heat supply and the body force of the classical solutions to the initial‐boundary value problem of a heat conducting fluid through a porous solid, both for the (well‐posed) forward problem and for the (improperly posed) backward in time one. For the former problem we obtain a result of continuous dependence with respect to the L2 norm; while for the latter we prove a result of Hölder continuity in a suitably constrained class of solutions.Keywords
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