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Asymptotic Behaviour of Convection in Porous Media

Title: Asymptotic Behaviour of Convection in Porous Media.
Name(s): Parshad, Rana Durga, 1979-, author
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
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2009
Publisher: Florida State University
Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: 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.
Identifier: FSU_migr_etd-2182 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Summer Semester, 2009.
Date of Defense: April 13, 2009.
Keywords: Porous Media Flow, Free Convection, Partial Differential Equations, Darcy-Boussinesq System, Invariant Measures
Bibliography Note: Includes bibliographical references.
Advisory Committee: 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.
Subject(s): Mathematics
Persistent Link to This Record:
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Host Institution: FSU

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Parshad, R. D. (2009). Asymptotic Behaviour of Convection in Porous Media. Retrieved from