Asymptotic behaviour of the Darcy-Boussinesq system at large Darcy-Prandtl number
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.
Received: November 2008; Revised: May 2009; Published: December 2009.
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