October  2010, 26(4): 1441-1469. doi: 10.3934/dcds.2010.26.1441

Asymptotic behaviour of the Darcy-Boussinesq system at large Darcy-Prandtl number

1. 

Florida State University, Department of Mathematics, Tallahassee, FL 32306, United States

Received  November 2008 Revised  May 2009 Published  December 2009

We study asymptotic behavior of the Darcy-Boussinesq system at large Darcy-Prandtl number. We prove that the global attractors for this system converge to that of the infinite Darcy-Prandtl number model. We also show the convergence of statistical properties including invariant measures.
Citation: Rana D. Parshad. Asymptotic behaviour of the Darcy-Boussinesq system at large Darcy-Prandtl number. Discrete and Continuous Dynamical Systems, 2010, 26 (4) : 1441-1469. doi: 10.3934/dcds.2010.26.1441
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