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Structural stability for the resonant porous penetrative convection

Published online by Cambridge University Press:  10 August 2012

YAN LIU
YAN LIU*
Affiliation:
Department of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, P. R. China e-mail: liuyan99021324@tom.com
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Abstract

We study the structural stability of a problem in a porous medium when the density of saturating liquid is a nonlinear function of temperature and an internal heat source is present. We prove a convergence result for the Forchheimer coefficient. That is to say, when λ → 0, the solution of the non-isothermal flow in a porous medium of the Forchheimer type, see (1.1), can converge to the solution of the equivalent Darcy type.

Keywords

Structural stabilityForchheimer equationsThe Forchheimer coefficientDarcy equations
Type
Papers
Information
European Journal of Applied Mathematics , Volume 23 , Issue 6 , December 2012 , pp. 761 - 775
Copyright
Copyright © Cambridge University Press 2012

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