Type of Document	Dissertation
Author	Parshad, Rana Durga
Author's Email Address	rparshad@gmail.com
URN	etd-05022009-195421
Title	Asymptotic behaviour of convection in porous media
Degree	Doctor of Philosophy
Department	Mathematics, Department of
Advisory Committee	Advisor Name Title Xiaoming Wang Committee Chair Alec Kercheval Committee Member Bettye Anne Case Committee Member Brian Ewald Committee Member Craig Nolder Committee Member Ming Ye Outside Committee Member
Keywords	Porous Media Flow Free Convection Partial Differential Equations Darcy-Boussinesq System Invariant Measures
Date of Defense	2009-04-13
Availability	unrestricted
Abstract This dissertation investigates asymptotic behaviour of convection in a fluid saturated porous medium. We analyse the Darcy-Boussinesq system under perturbation of the Darcy-Prandtl number parameter. In very tightly packed media this parameter is of very large order and can be driven to infinity to yield the infinite Darcy-Prandtl number model. We show convergence of global attractors and invariant measures of the Darcy-Boussinesq system to that of the infinite Darcy-Prandtl number model with respect to perturbation of the Darcy-Prandtl number parameter.
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