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

Pages: 1441 - 1469, Volume 26, Issue 4, April 2010

doi:10.3934/dcds.2010.26.1441       Abstract        Full Text (312.2K)       Related Articles

Rana D. Parshad - Florida State University, Department of Mathematics, Tallahassee, FL 32306, United States (email)

Abstract: 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.

Keywords:  Darcy-Boussinesq system, Darcy-Prandtl Number,Global Attractor, Invariant Measures, Singular Perturbation.
Mathematics Subject Classification:  Primary: 35B40, 35B41, 37L40; Secondary: 76S05, 76R10.

Received: November 2008;      Revised: May 2009;      Published: December 2009.