Long time behavior of convection in porous media - Parshad, Rana
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This book 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 innity to yield the innite Darcy-Prandtl number model. We show convergence of global attractors and invariant measures of the Darcy-Boussinesq system to that of the innite Darcy-Prandtl number model with respect to perturbation of the Darcy- Prandtl number.

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Produktbeschreibung
This book 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 innity to yield the innite Darcy-Prandtl number model. We show convergence of global attractors and invariant measures of the Darcy-Boussinesq system to that of the innite Darcy-Prandtl number model with respect to perturbation of the Darcy- Prandtl number.
Autorenporträt
Dr.Parshad is a postdoctoral fellow, on a research grant between KAUST and Stanford University. His PhD is in mathematics from Florida State University. He has also been a postdoctoral researcher at Clarkson University. His areas of interest include partial differential equations, applied dynamical systems, fluid mechanics and mathematical biology.