Barrett, John W. and Schwab, Christoph and Suli, Endre (2004) Existence of Global Weak Solutions for Some Polymeric Flow Models. Technical Report. Unspecified. (Submitted)

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Abstract
We study the existence of globalintime weak solutions to a coupled microscopicmacroscopic beadspring model which arises from the kinetic theory of diluted solutions of polymeric liquids with noninteracting polymer chains. The model consists of the unsteady incompressible NavierStokes equations in a bounded domain for the velocity and the pressure of the fluid, with an extrastress tensor as righthand side in the momentum equation. The extrastress tensor stems from the random movement of the polymer chains and is defined through the associated probability density function which satisfies a FokkerPlanck type degenerate parabolic equation. Upon appropriate smoothing of the convective velocity field in the FokkerPlanck equation, and in some circumstances, of the extrastress tensor, we establish the existence of globalintime weak solutions to this regularised beadspring model for a general class of springforcepotentials including in particular the widely used FENE (Finitely Extensible Nonlinear Elastic) model.
Item Type:  Technical Report (Technical Report) 

Subjects:  H  N > Numerical analysis 
Research Groups:  Numerical Analysis Group 
ID Code:  1166 
Deposited By:  Lotti Ekert 
Deposited On:  14 May 2011 07:44 
Last Modified:  29 May 2015 18:51 
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