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Asymptotic Behavior of the Solution of the DistributionDiffusion Equation for FENE Dumbbell Polymer Model

Published online by Cambridge University Press:  10 August 2011

I. S. Ciuperca  and
L. I. Palade
I. S. Ciuperca
Affiliation:
Université de Lyon, Université Lyon 1, Institut Camille Jordan, UMR 5208 CNRS 69622 Villeurbanne, France
L. I. Palade*
Affiliation:
Université de Lyon, INSA de Lyon, Institut Camille Jordan UMR 5208 CNRS & Pôle de Mathématiques, 69621 Villeurbanne, France
*
⋆ Corresponding author. E-mail:liviu-iulian.palade@insa-lyon.fr
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Abstract

This paper deals with the evolution Fokker-Planck-Smoluchowski configurationalprobability diffusion equation for the FENE dumbbell model in dilute polymer solutions. Weprove the exponential convergence in time of the solution of this equation to acorresponding steady-state solution, for arbitrary velocity gradients.

Keywords

FENE dumbbell chainsFokker-Planck-Smoluchowski equationentropy functionsectorial operators
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 5: Complex Fluids , 2011 , pp. 84 - 97
Copyright
© EDP Sciences, 2011

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