The long-time behaviour of the thermoconvective flow in a porous medium

For the Boussinesq approximation of the equations of coupled heat and fluid flow in a porous medium we show that the corresponding system of partial differential equations possesses a global attractor. We give lower and upper bounds of the Hausdorff dimension of the attractor depending on a physical...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2004-05, Vol.27 (8), p.907-930
Hauptverfasser:	Efendiev, M. A., Fuhrmann, J., Zelik, S. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boussinesq approximation equations of coupled heat and fluid flow in a porous medium finite volumes global attractor Hausdorff and fractal dimension numerical solution Rayleigh number upper and lower bounds
Online-Zugang:	Volltext
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