Long time behavior of convection in porous media

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.