Asymptotic Behaviour of Convection in Porous Media
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 y...
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ndltd-fsu.edu-oai-fsu.digital.flvc.org-fsu_2540292020-06-20T03:09:39Z Asymptotic Behaviour of Convection in Porous Media Parshad, Rana Durga, 1979- (authoraut) Wang, Xiaoming (professor directing dissertation) Ye, Ming (outside committee member) Case, Bettye Anne (committee member) Ewald, Brian (committee member) N.Kercheval, Alec (committee member) Nolder, Craig (committee member) Department of Mathematics (degree granting department) Florida State University (degree granting institution) Text text Florida State University Florida State University English eng 1 online resource computer application/pdf 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. A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy. Summer Semester, 2009. April 13, 2009. Porous Media Flow, Free Convection, Partial Differential Equations, Darcy-Boussinesq System, Invariant Measures Includes bibliographical references. Xiaoming Wang, Professor Directing Dissertation; Ming Ye, Outside Committee Member; Bettye Anne Case, Committee Member; Brian Ewald, Committee Member; Alec N.Kercheval, Committee Member; Craig Nolder, Committee Member. Mathematics FSU_migr_etd-2182 http://purl.flvc.org/fsu/fd/FSU_migr_etd-2182 This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. http://diginole.lib.fsu.edu/islandora/object/fsu%3A254029/datastream/TN/view/Asymptotic%20Behaviour%20of%20Convection%20in%20Porous%20Media.jpg |
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Mathematics Asymptotic Behaviour of Convection in Porous Media |
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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. === A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of
Doctor of Philosophy. === Summer Semester, 2009. === April 13, 2009. === Porous Media Flow, Free Convection, Partial Differential Equations, Darcy-Boussinesq System, Invariant Measures === Includes bibliographical references. === Xiaoming Wang, Professor Directing Dissertation; Ming Ye, Outside Committee Member; Bettye Anne Case, Committee Member; Brian Ewald, Committee Member; Alec N.Kercheval, Committee Member; Craig Nolder, Committee Member. |
author2 |
Parshad, Rana Durga, 1979- (authoraut) |
author_facet |
Parshad, Rana Durga, 1979- (authoraut) |
title |
Asymptotic Behaviour of Convection in Porous Media |
title_short |
Asymptotic Behaviour of Convection in Porous Media |
title_full |
Asymptotic Behaviour of Convection in Porous Media |
title_fullStr |
Asymptotic Behaviour of Convection in Porous Media |
title_full_unstemmed |
Asymptotic Behaviour of Convection in Porous Media |
title_sort |
asymptotic behaviour of convection in porous media |
publisher |
Florida State University |
url |
http://purl.flvc.org/fsu/fd/FSU_migr_etd-2182 |
_version_ |
1719322327297032192 |