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Structural Stability for the Brinkman Equations of Porous Media

✍ Scribed by F. Franchi; B. Straughan

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
537 KB
Volume
19
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by L. Payne

Explicit a priori continuous dependence estimates are derived for the Brinkman equations for nonisothermal flow in porous media. Continuous dependence on the cooling coefficient is shown when a boundary condition of Newton cooling type is employed. Continuous dependence on the model itself is proved when the Boussinesq model is allowed to change to one appropriate to penetrative convection. The final result derives an a przori continuous dependence estimate for the heat supply and body force.

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