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forchheimer equations

European Journal of Applied Mathematics (1)

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1 results

Structural stability for the resonant porous penetrative convection
YAN LIU
Journal:

European Journal of Applied Mathematics / Volume 23 / Issue 6 / December 2012

Published online by Cambridge University Press:

10 August 2012, pp. 761-775
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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.