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Existence and stability in convection in porous media

Part of: Flows in porous media; filtration; seepage

Published online by Cambridge University Press:  26 February 2010

Moses A. Boudourides
Moses A. Boudourides
Affiliation:
Section of Physics and Applied Mathematics, Democritus University of Thrace, 671 00 Xanthi, Greece.
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Extract

Consider an impermeable container Ω in ℝ3 filled with a porous material saturated with a Boussinesq fluid. The boundary ∂Ω of Ω consists of two parts Γ1 and Γ2, i. e., ∂Ω = Γ1 ⋃ Γ2. Γ1 is the intersection of the horizontal planes at z = 0 and z = 1 with a vertical cylinder of arbitrary cross section G (a bounded smooth domain in ℝ2), i.e., Γ1 = G × {0, 1}. Γ2 is the sidewall of the vertical cylinder between the planes z = 0 and z = l, i.e., Γ2Γ = ∂G × [0, 1].

MSC classification

Secondary: 76S05: Flows in porous media; filtration; seepage
Type
Research Article
Information
Mathematika , Volume 34 , Issue 1 , June 1987 , pp. 39 - 52
Copyright
Copyright © University College London 1987

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