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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Turbulence in two-phase flows of viscous incompressible fluids
by
Ciprian G. Gal
University of Missouri-Columbia
Coauthors: Maurizio Grasselli (Politecnico di Milano)

We consider a model for the study of the evolution of an incompressible mixture of two fluid flows in a two-dimensional bounded domain. This model consists of system of two PDE's, namely, the incompressible Navier-Stokes equation coupled with a convective Cahn-Hilliard equation endowed with suitable boundary conditions. Such systems can be viewed as generalizations of the classical Navier-Stokes equations to binary fluid flows. We analyze the asymptotic behavior of the solutions, i.e, via finite dimensional attractors, convergence of trajectories to single equilibria, etc.

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Date received: March 19, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-60.