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Stabilization estimates for penetrative motions in porous media

✍ Scribed by Franca Franchi

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
403 KB
Volume
17
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 L^2^ norm; while for the latter we prove a result of HΓΆlder continuity in a suitably constrained class of solutions.

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